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Finding the Fourth Proportional to 56.49, 84.86 and 54.97

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Solution

The fourth proportional to 56.49, 84.86 and 54.97 is: 82.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    56.49 : 84.86 = 54.97 : x
  2. Step 2: Convert to fraction form
    56.49/84.86 = 54.97/x
  3. Step 3: Cross multiply
    56.49x = 84.86 × 54.97
  4. Step 4: Simplify right side
    56.49x = 4,664.75
  5. Step 5: Solve for x
    x = 4,664.75/56.49
  6. Step 6: Final answer
    x = 82.58

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.