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Finding the Fourth Proportional to 83.64, 125.40 and 49.47

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Solution

The fourth proportional to 83.64, 125.40 and 49.47 is: 74.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    83.64 : 125.40 = 49.47 : x
  2. Step 2: Convert to fraction form
    83.64/125.40 = 49.47/x
  3. Step 3: Cross multiply
    83.64x = 125.40 × 49.47
  4. Step 4: Simplify right side
    83.64x = 6,203.54
  5. Step 5: Solve for x
    x = 6,203.54/83.64
  6. Step 6: Final answer
    x = 74.17

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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.