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Finding the Fourth Proportional to 105.42, 145.26 and 101.46

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Solution

The fourth proportional to 105.42, 145.26 and 101.46 is: 139.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    105.42 : 145.26 = 101.46 : x
  2. Step 2: Convert to fraction form
    105.42/145.26 = 101.46/x
  3. Step 3: Cross multiply
    105.42x = 145.26 × 101.46
  4. Step 4: Simplify right side
    105.42x = 14,738.08
  5. Step 5: Solve for x
    x = 14,738.08/105.42
  6. Step 6: Final answer
    x = 139.80

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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.