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Finding the Fourth Proportional to 116.75, 175.13 and 40.75

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Solution

The fourth proportional to 116.75, 175.13 and 40.75 is: 61.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    116.75 : 175.13 = 40.75 : x
  2. Step 2: Convert to fraction form
    116.75/175.13 = 40.75/x
  3. Step 3: Cross multiply
    116.75x = 175.13 × 40.75
  4. Step 4: Simplify right side
    116.75x = 7,136.55
  5. Step 5: Solve for x
    x = 7,136.55/116.75
  6. Step 6: Final answer
    x = 61.13

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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.