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Finding the Fourth Proportional to 55.62, 82.88 and 53.78

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Solution

The fourth proportional to 55.62, 82.88 and 53.78 is: 80.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    55.62 : 82.88 = 53.78 : x
  2. Step 2: Convert to fraction form
    55.62/82.88 = 53.78/x
  3. Step 3: Cross multiply
    55.62x = 82.88 × 53.78
  4. Step 4: Simplify right side
    55.62x = 4,456.80
  5. Step 5: Solve for x
    x = 4,456.80/55.62
  6. Step 6: Final answer
    x = 80.13

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.