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Finding the Fourth Proportional to 82.31, 113.65 and 51.24

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Solution

The fourth proportional to 82.31, 113.65 and 51.24 is: 70.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    82.31 : 113.65 = 51.24 : x
  2. Step 2: Convert to fraction form
    82.31/113.65 = 51.24/x
  3. Step 3: Cross multiply
    82.31x = 113.65 × 51.24
  4. Step 4: Simplify right side
    82.31x = 5,822.86
  5. Step 5: Solve for x
    x = 5,822.86/82.31
  6. Step 6: Final answer
    x = 70.74

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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.