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Finding the Fourth Proportional to 102.59, 142.08 and 100.85

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Solution

The fourth proportional to 102.59, 142.08 and 100.85 is: 139.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    102.59 : 142.08 = 100.85 : x
  2. Step 2: Convert to fraction form
    102.59/142.08 = 100.85/x
  3. Step 3: Cross multiply
    102.59x = 142.08 × 100.85
  4. Step 4: Simplify right side
    102.59x = 14,327.96
  5. Step 5: Solve for x
    x = 14,327.96/102.59
  6. Step 6: Final answer
    x = 139.66

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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.