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Finding the Fourth Proportional to 83.04, 124.37 and 52.54

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Solution

The fourth proportional to 83.04, 124.37 and 52.54 is: 78.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    83.04 : 124.37 = 52.54 : x
  2. Step 2: Convert to fraction form
    83.04/124.37 = 52.54/x
  3. Step 3: Cross multiply
    83.04x = 124.37 × 52.54
  4. Step 4: Simplify right side
    83.04x = 6,534.53
  5. Step 5: Solve for x
    x = 6,534.53/83.04
  6. Step 6: Final answer
    x = 78.69

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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.