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Finding the Fourth Proportional to 62.23, 92.91 and 54.13

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Solution

The fourth proportional to 62.23, 92.91 and 54.13 is: 80.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    62.23 : 92.91 = 54.13 : x
  2. Step 2: Convert to fraction form
    62.23/92.91 = 54.13/x
  3. Step 3: Cross multiply
    62.23x = 92.91 × 54.13
  4. Step 4: Simplify right side
    62.23x = 5,029.22
  5. Step 5: Solve for x
    x = 5,029.22/62.23
  6. Step 6: Final answer
    x = 80.82

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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.