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Finding the Fourth Proportional to 125.52, 187 and 116.20

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Solution

The fourth proportional to 125.52, 187 and 116.20 is: 173.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    125.52 : 187 = 116.20 : x
  2. Step 2: Convert to fraction form
    125.52/187 = 116.20/x
  3. Step 3: Cross multiply
    125.52x = 187 × 116.20
  4. Step 4: Simplify right side
    125.52x = 21,729.40
  5. Step 5: Solve for x
    x = 21,729.40/125.52
  6. Step 6: Final answer
    x = 173.12

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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.