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Finding the Fourth Proportional to 82.11, 113.13 and 52.95

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Solution

The fourth proportional to 82.11, 113.13 and 52.95 is: 72.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    82.11 : 113.13 = 52.95 : x
  2. Step 2: Convert to fraction form
    82.11/113.13 = 52.95/x
  3. Step 3: Cross multiply
    82.11x = 113.13 × 52.95
  4. Step 4: Simplify right side
    82.11x = 5,990.23
  5. Step 5: Solve for x
    x = 5,990.23/82.11
  6. Step 6: Final answer
    x = 72.95

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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.