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Finding the Fourth Proportional to 82.47, 113.82 and 45.65

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Solution

The fourth proportional to 82.47, 113.82 and 45.65 is: 62.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    82.47 : 113.82 = 45.65 : x
  2. Step 2: Convert to fraction form
    82.47/113.82 = 45.65/x
  3. Step 3: Cross multiply
    82.47x = 113.82 × 45.65
  4. Step 4: Simplify right side
    82.47x = 5,195.40
  5. Step 5: Solve for x
    x = 5,195.40/82.47
  6. Step 6: Final answer
    x = 62.99

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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.