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Finding the Fourth Proportional to 102.43, 141.30 and 99.61

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Solution

The fourth proportional to 102.43, 141.30 and 99.61 is: 137.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    102.43 : 141.30 = 99.61 : x
  2. Step 2: Convert to fraction form
    102.43/141.30 = 99.61/x
  3. Step 3: Cross multiply
    102.43x = 141.30 × 99.61
  4. Step 4: Simplify right side
    102.43x = 14,074.89
  5. Step 5: Solve for x
    x = 14,074.89/102.43
  6. Step 6: Final answer
    x = 137.41

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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.