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Finding the Fourth Proportional to 157.67, 217.49 and 113.42

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Solution

The fourth proportional to 157.67, 217.49 and 113.42 is: 156.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    157.67 : 217.49 = 113.42 : x
  2. Step 2: Convert to fraction form
    157.67/217.49 = 113.42/x
  3. Step 3: Cross multiply
    157.67x = 217.49 × 113.42
  4. Step 4: Simplify right side
    157.67x = 24,666.06
  5. Step 5: Solve for x
    x = 24,666.06/157.67
  6. Step 6: Final answer
    x = 156.44

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Why These Related Problems?

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