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Finding the Fourth Proportional to 113.53, 170.13 and 83.14

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Solution

The fourth proportional to 113.53, 170.13 and 83.14 is: 124.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    113.53 : 170.13 = 83.14 : x
  2. Step 2: Convert to fraction form
    113.53/170.13 = 83.14/x
  3. Step 3: Cross multiply
    113.53x = 170.13 × 83.14
  4. Step 4: Simplify right side
    113.53x = 14,144.61
  5. Step 5: Solve for x
    x = 14,144.61/113.53
  6. Step 6: Final answer
    x = 124.59

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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.