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Finding the Fourth Proportional to 82.52, 113.82 and 53

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Solution

The fourth proportional to 82.52, 113.82 and 53 is: 73.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    82.52 : 113.82 = 53 : x
  2. Step 2: Convert to fraction form
    82.52/113.82 = 53/x
  3. Step 3: Cross multiply
    82.52x = 113.82 × 53
  4. Step 4: Simplify right side
    82.52x = 6,032.46
  5. Step 5: Solve for x
    x = 6,032.46/82.52
  6. Step 6: Final answer
    x = 73.10

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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.