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Finding the Fourth Proportional to 105.06, 145.10 and 70.03

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Solution

The fourth proportional to 105.06, 145.10 and 70.03 is: 96.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    105.06 : 145.10 = 70.03 : x
  2. Step 2: Convert to fraction form
    105.06/145.10 = 70.03/x
  3. Step 3: Cross multiply
    105.06x = 145.10 × 70.03
  4. Step 4: Simplify right side
    105.06x = 10,161.78
  5. Step 5: Solve for x
    x = 10,161.78/105.06
  6. Step 6: Final answer
    x = 96.72

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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.