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Finding the Fourth Proportional to 56.84, 84.65 and 54.88

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Solution

The fourth proportional to 56.84, 84.65 and 54.88 is: 81.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    56.84 : 84.65 = 54.88 : x
  2. Step 2: Convert to fraction form
    56.84/84.65 = 54.88/x
  3. Step 3: Cross multiply
    56.84x = 84.65 × 54.88
  4. Step 4: Simplify right side
    56.84x = 4,645.59
  5. Step 5: Solve for x
    x = 4,645.59/56.84
  6. Step 6: Final answer
    x = 81.73

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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.