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Finding the Fourth Proportional to 157.67, 217.45 and 108.53

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Solution

The fourth proportional to 157.67, 217.45 and 108.53 is: 149.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    157.67 : 217.45 = 108.53 : x
  2. Step 2: Convert to fraction form
    157.67/217.45 = 108.53/x
  3. Step 3: Cross multiply
    157.67x = 217.45 × 108.53
  4. Step 4: Simplify right side
    157.67x = 23,599.85
  5. Step 5: Solve for x
    x = 23,599.85/157.67
  6. Step 6: Final answer
    x = 149.68

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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.