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Finding the Fourth Proportional to 82.24, 113.56 and 51.17

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Solution

The fourth proportional to 82.24, 113.56 and 51.17 is: 70.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    82.24 : 113.56 = 51.17 : x
  2. Step 2: Convert to fraction form
    82.24/113.56 = 51.17/x
  3. Step 3: Cross multiply
    82.24x = 113.56 × 51.17
  4. Step 4: Simplify right side
    82.24x = 5,810.17
  5. Step 5: Solve for x
    x = 5,810.17/82.24
  6. Step 6: Final answer
    x = 70.65

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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.