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Finding the Fourth Proportional to 52.11, 77.84 and 38.61

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Solution

The fourth proportional to 52.11, 77.84 and 38.61 is: 57.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    52.11 : 77.84 = 38.61 : x
  2. Step 2: Convert to fraction form
    52.11/77.84 = 38.61/x
  3. Step 3: Cross multiply
    52.11x = 77.84 × 38.61
  4. Step 4: Simplify right side
    52.11x = 3,005.40
  5. Step 5: Solve for x
    x = 3,005.40/52.11
  6. Step 6: Final answer
    x = 57.67

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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.