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Finding the Fourth Proportional to 125.72, 187.76 and 105.24

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Solution

The fourth proportional to 125.72, 187.76 and 105.24 is: 157.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    125.72 : 187.76 = 105.24 : x
  2. Step 2: Convert to fraction form
    125.72/187.76 = 105.24/x
  3. Step 3: Cross multiply
    125.72x = 187.76 × 105.24
  4. Step 4: Simplify right side
    125.72x = 19,759.34
  5. Step 5: Solve for x
    x = 19,759.34/125.72
  6. Step 6: Final answer
    x = 157.18

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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.