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Finding the Fourth Proportional to 116.66, 175.31 and 71.14

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Solution

The fourth proportional to 116.66, 175.31 and 71.14 is: 106.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    116.66 : 175.31 = 71.14 : x
  2. Step 2: Convert to fraction form
    116.66/175.31 = 71.14/x
  3. Step 3: Cross multiply
    116.66x = 175.31 × 71.14
  4. Step 4: Simplify right side
    116.66x = 12,471.55
  5. Step 5: Solve for x
    x = 12,471.55/116.66
  6. Step 6: Final answer
    x = 106.91

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.