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Finding the Fourth Proportional to 115.31, 158.85 and 82.10

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Solution

The fourth proportional to 115.31, 158.85 and 82.10 is: 113.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    115.31 : 158.85 = 82.10 : x
  2. Step 2: Convert to fraction form
    115.31/158.85 = 82.10/x
  3. Step 3: Cross multiply
    115.31x = 158.85 × 82.10
  4. Step 4: Simplify right side
    115.31x = 13,040.79
  5. Step 5: Solve for x
    x = 13,040.79/115.31
  6. Step 6: Final answer
    x = 113.10

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.