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Finding the Fourth Proportional to 82.04, 123.24 and 77.92

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Solution

The fourth proportional to 82.04, 123.24 and 77.92 is: 117.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    82.04 : 123.24 = 77.92 : x
  2. Step 2: Convert to fraction form
    82.04/123.24 = 77.92/x
  3. Step 3: Cross multiply
    82.04x = 123.24 × 77.92
  4. Step 4: Simplify right side
    82.04x = 9,602.86
  5. Step 5: Solve for x
    x = 9,602.86/82.04
  6. Step 6: Final answer
    x = 117.05

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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.