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Finding the Fourth Proportional to 56.71, 84.65 and 54.82

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Solution

The fourth proportional to 56.71, 84.65 and 54.82 is: 81.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    56.71 : 84.65 = 54.82 : x
  2. Step 2: Convert to fraction form
    56.71/84.65 = 54.82/x
  3. Step 3: Cross multiply
    56.71x = 84.65 × 54.82
  4. Step 4: Simplify right side
    56.71x = 4,640.51
  5. Step 5: Solve for x
    x = 4,640.51/56.71
  6. Step 6: Final answer
    x = 81.83

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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.