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Finding the Fourth Proportional to 52.08, 77.78 and 44.82

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Solution

The fourth proportional to 52.08, 77.78 and 44.82 is: 66.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    52.08 : 77.78 = 44.82 : x
  2. Step 2: Convert to fraction form
    52.08/77.78 = 44.82/x
  3. Step 3: Cross multiply
    52.08x = 77.78 × 44.82
  4. Step 4: Simplify right side
    52.08x = 3,485.88
  5. Step 5: Solve for x
    x = 3,485.88/52.08
  6. Step 6: Final answer
    x = 66.93

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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.