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Finding the Fourth Proportional to 125.28, 186.88 and 113.12

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Solution

The fourth proportional to 125.28, 186.88 and 113.12 is: 168.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    125.28 : 186.88 = 113.12 : x
  2. Step 2: Convert to fraction form
    125.28/186.88 = 113.12/x
  3. Step 3: Cross multiply
    125.28x = 186.88 × 113.12
  4. Step 4: Simplify right side
    125.28x = 21,139.87
  5. Step 5: Solve for x
    x = 21,139.87/125.28
  6. Step 6: Final answer
    x = 168.74

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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.