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Finding the Fourth Proportional to 82.71, 123.91 and 52.23

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Solution

The fourth proportional to 82.71, 123.91 and 52.23 is: 78.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    82.71 : 123.91 = 52.23 : x
  2. Step 2: Convert to fraction form
    82.71/123.91 = 52.23/x
  3. Step 3: Cross multiply
    82.71x = 123.91 × 52.23
  4. Step 4: Simplify right side
    82.71x = 6,471.82
  5. Step 5: Solve for x
    x = 6,471.82/82.71
  6. Step 6: Final answer
    x = 78.25

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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.