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Finding the Fourth Proportional to 52.15, 77.68 and 43.85

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Solution

The fourth proportional to 52.15, 77.68 and 43.85 is: 65.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    52.15 : 77.68 = 43.85 : x
  2. Step 2: Convert to fraction form
    52.15/77.68 = 43.85/x
  3. Step 3: Cross multiply
    52.15x = 77.68 × 43.85
  4. Step 4: Simplify right side
    52.15x = 3,405.66
  5. Step 5: Solve for x
    x = 3,405.66/52.15
  6. Step 6: Final answer
    x = 65.31

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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.