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Finding the Fourth Proportional to 114.60, 158.44 and 86.92

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Solution

The fourth proportional to 114.60, 158.44 and 86.92 is: 120.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    114.60 : 158.44 = 86.92 : x
  2. Step 2: Convert to fraction form
    114.60/158.44 = 86.92/x
  3. Step 3: Cross multiply
    114.60x = 158.44 × 86.92
  4. Step 4: Simplify right side
    114.60x = 13,772.05
  5. Step 5: Solve for x
    x = 13,772.05/114.60
  6. Step 6: Final answer
    x = 120.18

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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.