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Finding the Fourth Proportional to 125.38, 187.07 and 105.13

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Solution

The fourth proportional to 125.38, 187.07 and 105.13 is: 156.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    125.38 : 187.07 = 105.13 : x
  2. Step 2: Convert to fraction form
    125.38/187.07 = 105.13/x
  3. Step 3: Cross multiply
    125.38x = 187.07 × 105.13
  4. Step 4: Simplify right side
    125.38x = 19,666.67
  5. Step 5: Solve for x
    x = 19,666.67/125.38
  6. Step 6: Final answer
    x = 156.86

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.