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Finding the Fourth Proportional to 82.95, 123.54 and 77.97

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Solution

The fourth proportional to 82.95, 123.54 and 77.97 is: 116.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    82.95 : 123.54 = 77.97 : x
  2. Step 2: Convert to fraction form
    82.95/123.54 = 77.97/x
  3. Step 3: Cross multiply
    82.95x = 123.54 × 77.97
  4. Step 4: Simplify right side
    82.95x = 9,632.41
  5. Step 5: Solve for x
    x = 9,632.41/82.95
  6. Step 6: Final answer
    x = 116.12

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.