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Finding the Fourth Proportional to 114.92, 158.46 and 83.78

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Solution

The fourth proportional to 114.92, 158.46 and 83.78 is: 115.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    114.92 : 158.46 = 83.78 : x
  2. Step 2: Convert to fraction form
    114.92/158.46 = 83.78/x
  3. Step 3: Cross multiply
    114.92x = 158.46 × 83.78
  4. Step 4: Simplify right side
    114.92x = 13,275.78
  5. Step 5: Solve for x
    x = 13,275.78/114.92
  6. Step 6: Final answer
    x = 115.52

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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.