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Finding the Fourth Proportional to 83.50, 115.25 and 52.42

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Solution

The fourth proportional to 83.50, 115.25 and 52.42 is: 72.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    83.50 : 115.25 = 52.42 : x
  2. Step 2: Convert to fraction form
    83.50/115.25 = 52.42/x
  3. Step 3: Cross multiply
    83.50x = 115.25 × 52.42
  4. Step 4: Simplify right side
    83.50x = 6,041.41
  5. Step 5: Solve for x
    x = 6,041.41/83.50
  6. Step 6: Final answer
    x = 72.35

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.