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Finding the Fourth Proportional to 82.47, 123.72 and 36.84

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Solution

The fourth proportional to 82.47, 123.72 and 36.84 is: 55.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    82.47 : 123.72 = 36.84 : x
  2. Step 2: Convert to fraction form
    82.47/123.72 = 36.84/x
  3. Step 3: Cross multiply
    82.47x = 123.72 × 36.84
  4. Step 4: Simplify right side
    82.47x = 4,557.84
  5. Step 5: Solve for x
    x = 4,557.84/82.47
  6. Step 6: Final answer
    x = 55.27

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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.