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Finding the Fourth Proportional to 53.76, 80.64 and 49.71

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Solution

The fourth proportional to 53.76, 80.64 and 49.71 is: 74.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    53.76 : 80.64 = 49.71 : x
  2. Step 2: Convert to fraction form
    53.76/80.64 = 49.71/x
  3. Step 3: Cross multiply
    53.76x = 80.64 × 49.71
  4. Step 4: Simplify right side
    53.76x = 4,008.61
  5. Step 5: Solve for x
    x = 4,008.61/53.76
  6. Step 6: Final answer
    x = 74.57

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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.