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Finding the Fourth Proportional to 116.71, 174.95 and 39.65

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Solution

The fourth proportional to 116.71, 174.95 and 39.65 is: 59.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    116.71 : 174.95 = 39.65 : x
  2. Step 2: Convert to fraction form
    116.71/174.95 = 39.65/x
  3. Step 3: Cross multiply
    116.71x = 174.95 × 39.65
  4. Step 4: Simplify right side
    116.71x = 6,937.56
  5. Step 5: Solve for x
    x = 6,937.56/116.71
  6. Step 6: Final answer
    x = 59.44

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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.