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Finding the Fourth Proportional to 76.25, 113.68 and 71.66

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Solution

The fourth proportional to 76.25, 113.68 and 71.66 is: 106.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    76.25 : 113.68 = 71.66 : x
  2. Step 2: Convert to fraction form
    76.25/113.68 = 71.66/x
  3. Step 3: Cross multiply
    76.25x = 113.68 × 71.66
  4. Step 4: Simplify right side
    76.25x = 8,146.31
  5. Step 5: Solve for x
    x = 8,146.31/76.25
  6. Step 6: Final answer
    x = 106.84

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.