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Finding the Fourth Proportional to 82.31, 123.46 and 65.22

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Solution

The fourth proportional to 82.31, 123.46 and 65.22 is: 97.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    82.31 : 123.46 = 65.22 : x
  2. Step 2: Convert to fraction form
    82.31/123.46 = 65.22/x
  3. Step 3: Cross multiply
    82.31x = 123.46 × 65.22
  4. Step 4: Simplify right side
    82.31x = 8,051.90
  5. Step 5: Solve for x
    x = 8,051.90/82.31
  6. Step 6: Final answer
    x = 97.83

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.