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Finding the Fourth Proportional to 102.52, 141.49 and 74.98

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Solution

The fourth proportional to 102.52, 141.49 and 74.98 is: 103.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    102.52 : 141.49 = 74.98 : x
  2. Step 2: Convert to fraction form
    102.52/141.49 = 74.98/x
  3. Step 3: Cross multiply
    102.52x = 141.49 × 74.98
  4. Step 4: Simplify right side
    102.52x = 10,608.92
  5. Step 5: Solve for x
    x = 10,608.92/102.52
  6. Step 6: Final answer
    x = 103.48

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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.