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Finding the Fourth Proportional to 157.71, 217.48 and 108.61

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Solution

The fourth proportional to 157.71, 217.48 and 108.61 is: 149.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    157.71 : 217.48 = 108.61 : x
  2. Step 2: Convert to fraction form
    157.71/217.48 = 108.61/x
  3. Step 3: Cross multiply
    157.71x = 217.48 × 108.61
  4. Step 4: Simplify right side
    157.71x = 23,620.50
  5. Step 5: Solve for x
    x = 23,620.50/157.71
  6. Step 6: Final answer
    x = 149.77

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.