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Finding the Fourth Proportional to 82.50, 123 and 77.28

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Solution

The fourth proportional to 82.50, 123 and 77.28 is: 115.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    82.50 : 123 = 77.28 : x
  2. Step 2: Convert to fraction form
    82.50/123 = 77.28/x
  3. Step 3: Cross multiply
    82.50x = 123 × 77.28
  4. Step 4: Simplify right side
    82.50x = 9,505.44
  5. Step 5: Solve for x
    x = 9,505.44/82.50
  6. Step 6: Final answer
    x = 115.22

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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.