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Finding the Fourth Proportional to 125.60, 187.96 and 122.14

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Solution

The fourth proportional to 125.60, 187.96 and 122.14 is: 182.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    125.60 : 187.96 = 122.14 : x
  2. Step 2: Convert to fraction form
    125.60/187.96 = 122.14/x
  3. Step 3: Cross multiply
    125.60x = 187.96 × 122.14
  4. Step 4: Simplify right side
    125.60x = 22,957.43
  5. Step 5: Solve for x
    x = 22,957.43/125.60
  6. Step 6: Final answer
    x = 182.78

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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.