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Finding the Fourth Proportional to 56.78, 84.81 and 55.77

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Solution

The fourth proportional to 56.78, 84.81 and 55.77 is: 83.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    56.78 : 84.81 = 55.77 : x
  2. Step 2: Convert to fraction form
    56.78/84.81 = 55.77/x
  3. Step 3: Cross multiply
    56.78x = 84.81 × 55.77
  4. Step 4: Simplify right side
    56.78x = 4,729.85
  5. Step 5: Solve for x
    x = 4,729.85/56.78
  6. Step 6: Final answer
    x = 83.30

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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.