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Finding the Fourth Proportional to 52.24, 77.77 and 49.75

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Solution

The fourth proportional to 52.24, 77.77 and 49.75 is: 74.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    52.24 : 77.77 = 49.75 : x
  2. Step 2: Convert to fraction form
    52.24/77.77 = 49.75/x
  3. Step 3: Cross multiply
    52.24x = 77.77 × 49.75
  4. Step 4: Simplify right side
    52.24x = 3,869.15
  5. Step 5: Solve for x
    x = 3,869.15/52.24
  6. Step 6: Final answer
    x = 74.06

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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.