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Finding the Fourth Proportional to 45.71, 63.08 and 28.23

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Solution

The fourth proportional to 45.71, 63.08 and 28.23 is: 38.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    45.71 : 63.08 = 28.23 : x
  2. Step 2: Convert to fraction form
    45.71/63.08 = 28.23/x
  3. Step 3: Cross multiply
    45.71x = 63.08 × 28.23
  4. Step 4: Simplify right side
    45.71x = 1,780.61
  5. Step 5: Solve for x
    x = 1,780.61/45.71
  6. Step 6: Final answer
    x = 38.95

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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.