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Finding the Fourth Proportional to 113.87, 157.18 and 84.31

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Solution

The fourth proportional to 113.87, 157.18 and 84.31 is: 116.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    113.87 : 157.18 = 84.31 : x
  2. Step 2: Convert to fraction form
    113.87/157.18 = 84.31/x
  3. Step 3: Cross multiply
    113.87x = 157.18 × 84.31
  4. Step 4: Simplify right side
    113.87x = 13,251.85
  5. Step 5: Solve for x
    x = 13,251.85/113.87
  6. Step 6: Final answer
    x = 116.38

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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.