Home / 105.09-145.13-66.30

Finding the Fourth Proportional to 105.09, 145.13 and 66.30

Calculator

Solution

The fourth proportional to 105.09, 145.13 and 66.30 is: 91.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    105.09 : 145.13 = 66.30 : x
  2. Step 2: Convert to fraction form
    105.09/145.13 = 66.30/x
  3. Step 3: Cross multiply
    105.09x = 145.13 × 66.30
  4. Step 4: Simplify right side
    105.09x = 9,622.12
  5. Step 5: Solve for x
    x = 9,622.12/105.09
  6. Step 6: Final answer
    x = 91.56

Related Problems

Find fourth proportional to 52.55, 72.57 and 33.15
Half scale
Find fourth proportional to 210.18, 290.26 and 132.60
Double scale
Find fourth proportional to 106.09, 146.51 and 67.30
Similar ratio
Find fourth proportional to 157.64, 217.70 and 99.45
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.