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Finding the Fourth Proportional to 56.62, 84.49 and 55.78

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Solution

The fourth proportional to 56.62, 84.49 and 55.78 is: 83.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    56.62 : 84.49 = 55.78 : x
  2. Step 2: Convert to fraction form
    56.62/84.49 = 55.78/x
  3. Step 3: Cross multiply
    56.62x = 84.49 × 55.78
  4. Step 4: Simplify right side
    56.62x = 4,712.85
  5. Step 5: Solve for x
    x = 4,712.85/56.62
  6. Step 6: Final answer
    x = 83.24

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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.