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Finding the Fourth Proportional to 53.49, 80.16 and 49.71

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Solution

The fourth proportional to 53.49, 80.16 and 49.71 is: 74.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    53.49 : 80.16 = 49.71 : x
  2. Step 2: Convert to fraction form
    53.49/80.16 = 49.71/x
  3. Step 3: Cross multiply
    53.49x = 80.16 × 49.71
  4. Step 4: Simplify right side
    53.49x = 3,984.75
  5. Step 5: Solve for x
    x = 3,984.75/53.49
  6. Step 6: Final answer
    x = 74.50

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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.