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Finding the Fourth Proportional to 114.92, 158.70 and 71.27

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Solution

The fourth proportional to 114.92, 158.70 and 71.27 is: 98.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    114.92 : 158.70 = 71.27 : x
  2. Step 2: Convert to fraction form
    114.92/158.70 = 71.27/x
  3. Step 3: Cross multiply
    114.92x = 158.70 × 71.27
  4. Step 4: Simplify right side
    114.92x = 11,310.55
  5. Step 5: Solve for x
    x = 11,310.55/114.92
  6. Step 6: Final answer
    x = 98.42

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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.