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Finding the Fourth Proportional to 81.50, 121.95 and 47.28

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Solution

The fourth proportional to 81.50, 121.95 and 47.28 is: 70.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    81.50 : 121.95 = 47.28 : x
  2. Step 2: Convert to fraction form
    81.50/121.95 = 47.28/x
  3. Step 3: Cross multiply
    81.50x = 121.95 × 47.28
  4. Step 4: Simplify right side
    81.50x = 5,765.80
  5. Step 5: Solve for x
    x = 5,765.80/81.50
  6. Step 6: Final answer
    x = 70.74

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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.