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Finding the Fourth Proportional to 125.14, 187.89 and 71.08

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Solution

The fourth proportional to 125.14, 187.89 and 71.08 is: 106.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    125.14 : 187.89 = 71.08 : x
  2. Step 2: Convert to fraction form
    125.14/187.89 = 71.08/x
  3. Step 3: Cross multiply
    125.14x = 187.89 × 71.08
  4. Step 4: Simplify right side
    125.14x = 13,355.22
  5. Step 5: Solve for x
    x = 13,355.22/125.14
  6. Step 6: Final answer
    x = 106.72

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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.