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Finding the Fourth Proportional to 82.24, 123.24 and 64.24

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Solution

The fourth proportional to 82.24, 123.24 and 64.24 is: 96.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    82.24 : 123.24 = 64.24 : x
  2. Step 2: Convert to fraction form
    82.24/123.24 = 64.24/x
  3. Step 3: Cross multiply
    82.24x = 123.24 × 64.24
  4. Step 4: Simplify right side
    82.24x = 7,916.94
  5. Step 5: Solve for x
    x = 7,916.94/82.24
  6. Step 6: Final answer
    x = 96.27

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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.