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Finding the Fourth Proportional to 62.82, 93.81 and 54.15

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Solution

The fourth proportional to 62.82, 93.81 and 54.15 is: 80.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    62.82 : 93.81 = 54.15 : x
  2. Step 2: Convert to fraction form
    62.82/93.81 = 54.15/x
  3. Step 3: Cross multiply
    62.82x = 93.81 × 54.15
  4. Step 4: Simplify right side
    62.82x = 5,079.81
  5. Step 5: Solve for x
    x = 5,079.81/62.82
  6. Step 6: Final answer
    x = 80.86

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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.