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Finding the Fourth Proportional to 52.12, 77.71 and 49.96

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Solution

The fourth proportional to 52.12, 77.71 and 49.96 is: 74.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    52.12 : 77.71 = 49.96 : x
  2. Step 2: Convert to fraction form
    52.12/77.71 = 49.96/x
  3. Step 3: Cross multiply
    52.12x = 77.71 × 49.96
  4. Step 4: Simplify right side
    52.12x = 3,882.39
  5. Step 5: Solve for x
    x = 3,882.39/52.12
  6. Step 6: Final answer
    x = 74.49

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.