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Finding the Fourth Proportional to 82.29, 113.63 and 51.24

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Solution

The fourth proportional to 82.29, 113.63 and 51.24 is: 70.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    82.29 : 113.63 = 51.24 : x
  2. Step 2: Convert to fraction form
    82.29/113.63 = 51.24/x
  3. Step 3: Cross multiply
    82.29x = 113.63 × 51.24
  4. Step 4: Simplify right side
    82.29x = 5,822.15
  5. Step 5: Solve for x
    x = 5,822.15/82.29
  6. Step 6: Final answer
    x = 70.75

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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.