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Finding the Fourth Proportional to 83.28, 124.59 and 52.01

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Solution

The fourth proportional to 83.28, 124.59 and 52.01 is: 77.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    83.28 : 124.59 = 52.01 : x
  2. Step 2: Convert to fraction form
    83.28/124.59 = 52.01/x
  3. Step 3: Cross multiply
    83.28x = 124.59 × 52.01
  4. Step 4: Simplify right side
    83.28x = 6,479.74
  5. Step 5: Solve for x
    x = 6,479.74/83.28
  6. Step 6: Final answer
    x = 77.81

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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.