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Finding the Fourth Proportional to 82.10, 113.49 and 62.52

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Solution

The fourth proportional to 82.10, 113.49 and 62.52 is: 86.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    82.10 : 113.49 = 62.52 : x
  2. Step 2: Convert to fraction form
    82.10/113.49 = 62.52/x
  3. Step 3: Cross multiply
    82.10x = 113.49 × 62.52
  4. Step 4: Simplify right side
    82.10x = 7,095.78
  5. Step 5: Solve for x
    x = 7,095.78/82.10
  6. Step 6: Final answer
    x = 86.43

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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.