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Finding the Fourth Proportional to 85.52, 117.96 and 71.70

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Solution

The fourth proportional to 85.52, 117.96 and 71.70 is: 98.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    85.52 : 117.96 = 71.70 : x
  2. Step 2: Convert to fraction form
    85.52/117.96 = 71.70/x
  3. Step 3: Cross multiply
    85.52x = 117.96 × 71.70
  4. Step 4: Simplify right side
    85.52x = 8,457.73
  5. Step 5: Solve for x
    x = 8,457.73/85.52
  6. Step 6: Final answer
    x = 98.90

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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.