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Finding the Fourth Proportional to 125.14, 187.66 and 71.14

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Solution

The fourth proportional to 125.14, 187.66 and 71.14 is: 106.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    125.14 : 187.66 = 71.14 : x
  2. Step 2: Convert to fraction form
    125.14/187.66 = 71.14/x
  3. Step 3: Cross multiply
    125.14x = 187.66 × 71.14
  4. Step 4: Simplify right side
    125.14x = 13,350.13
  5. Step 5: Solve for x
    x = 13,350.13/125.14
  6. Step 6: Final answer
    x = 106.68

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.