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Finding the Fourth Proportional to 103.41, 142.69 and 66.57

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Solution

The fourth proportional to 103.41, 142.69 and 66.57 is: 91.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    103.41 : 142.69 = 66.57 : x
  2. Step 2: Convert to fraction form
    103.41/142.69 = 66.57/x
  3. Step 3: Cross multiply
    103.41x = 142.69 × 66.57
  4. Step 4: Simplify right side
    103.41x = 9,498.91
  5. Step 5: Solve for x
    x = 9,498.91/103.41
  6. Step 6: Final answer
    x = 91.85

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.