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Finding the Fourth Proportional to 55.42, 82.69 and 52.11

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Solution

The fourth proportional to 55.42, 82.69 and 52.11 is: 77.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    55.42 : 82.69 = 52.11 : x
  2. Step 2: Convert to fraction form
    55.42/82.69 = 52.11/x
  3. Step 3: Cross multiply
    55.42x = 82.69 × 52.11
  4. Step 4: Simplify right side
    55.42x = 4,308.85
  5. Step 5: Solve for x
    x = 4,308.85/55.42
  6. Step 6: Final answer
    x = 77.75

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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.