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Finding the Fourth Proportional to 115, 158.46 and 82.24

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Solution

The fourth proportional to 115, 158.46 and 82.24 is: 113.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    115 : 158.46 = 82.24 : x
  2. Step 2: Convert to fraction form
    115/158.46 = 82.24/x
  3. Step 3: Cross multiply
    115x = 158.46 × 82.24
  4. Step 4: Simplify right side
    115x = 13,031.75
  5. Step 5: Solve for x
    x = 13,031.75/115
  6. Step 6: Final answer
    x = 113.32

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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.