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Finding the Fourth Proportional to 82.16, 113.31 and 52.66

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Solution

The fourth proportional to 82.16, 113.31 and 52.66 is: 72.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    82.16 : 113.31 = 52.66 : x
  2. Step 2: Convert to fraction form
    82.16/113.31 = 52.66/x
  3. Step 3: Cross multiply
    82.16x = 113.31 × 52.66
  4. Step 4: Simplify right side
    82.16x = 5,966.34
  5. Step 5: Solve for x
    x = 5,966.34/82.16
  6. Step 6: Final answer
    x = 72.62

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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.