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Finding the Fourth Proportional to 102.72, 142.33 and 101.25

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Solution

The fourth proportional to 102.72, 142.33 and 101.25 is: 140.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    102.72 : 142.33 = 101.25 : x
  2. Step 2: Convert to fraction form
    102.72/142.33 = 101.25/x
  3. Step 3: Cross multiply
    102.72x = 142.33 × 101.25
  4. Step 4: Simplify right side
    102.72x = 14,411.13
  5. Step 5: Solve for x
    x = 14,411.13/102.72
  6. Step 6: Final answer
    x = 140.30

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.