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Finding the Fourth Proportional to 103.59, 142.94 and 59.91

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Solution

The fourth proportional to 103.59, 142.94 and 59.91 is: 82.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    103.59 : 142.94 = 59.91 : x
  2. Step 2: Convert to fraction form
    103.59/142.94 = 59.91/x
  3. Step 3: Cross multiply
    103.59x = 142.94 × 59.91
  4. Step 4: Simplify right side
    103.59x = 8,563.24
  5. Step 5: Solve for x
    x = 8,563.24/103.59
  6. Step 6: Final answer
    x = 82.66

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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.