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Finding the Fourth Proportional to 82.24, 123.28 and 49.60

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Solution

The fourth proportional to 82.24, 123.28 and 49.60 is: 74.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    82.24 : 123.28 = 49.60 : x
  2. Step 2: Convert to fraction form
    82.24/123.28 = 49.60/x
  3. Step 3: Cross multiply
    82.24x = 123.28 × 49.60
  4. Step 4: Simplify right side
    82.24x = 6,114.69
  5. Step 5: Solve for x
    x = 6,114.69/82.24
  6. Step 6: Final answer
    x = 74.35

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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.