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Finding the Fourth Proportional to 125.35, 187.72 and 71.14

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Solution

The fourth proportional to 125.35, 187.72 and 71.14 is: 106.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    125.35 : 187.72 = 71.14 : x
  2. Step 2: Convert to fraction form
    125.35/187.72 = 71.14/x
  3. Step 3: Cross multiply
    125.35x = 187.72 × 71.14
  4. Step 4: Simplify right side
    125.35x = 13,354.40
  5. Step 5: Solve for x
    x = 13,354.40/125.35
  6. Step 6: Final answer
    x = 106.54

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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.