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Finding the Fourth Proportional to 45.76, 63.24 and 38.50

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Solution

The fourth proportional to 45.76, 63.24 and 38.50 is: 53.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    45.76 : 63.24 = 38.50 : x
  2. Step 2: Convert to fraction form
    45.76/63.24 = 38.50/x
  3. Step 3: Cross multiply
    45.76x = 63.24 × 38.50
  4. Step 4: Simplify right side
    45.76x = 2,434.74
  5. Step 5: Solve for x
    x = 2,434.74/45.76
  6. Step 6: Final answer
    x = 53.21

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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.