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Finding the Fourth Proportional to 102.24, 141.24 and 80.40

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Solution

The fourth proportional to 102.24, 141.24 and 80.40 is: 111.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    102.24 : 141.24 = 80.40 : x
  2. Step 2: Convert to fraction form
    102.24/141.24 = 80.40/x
  3. Step 3: Cross multiply
    102.24x = 141.24 × 80.40
  4. Step 4: Simplify right side
    102.24x = 11,355.70
  5. Step 5: Solve for x
    x = 11,355.70/102.24
  6. Step 6: Final answer
    x = 111.07

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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.