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Finding the Fourth Proportional to 115.60, 159.24 and 82.84

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Solution

The fourth proportional to 115.60, 159.24 and 82.84 is: 114.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    115.60 : 159.24 = 82.84 : x
  2. Step 2: Convert to fraction form
    115.60/159.24 = 82.84/x
  3. Step 3: Cross multiply
    115.60x = 159.24 × 82.84
  4. Step 4: Simplify right side
    115.60x = 13,191.44
  5. Step 5: Solve for x
    x = 13,191.44/115.60
  6. Step 6: Final answer
    x = 114.11

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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.