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Finding the Fourth Proportional to 61.02, 84.24 and 54.48

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Solution

The fourth proportional to 61.02, 84.24 and 54.48 is: 75.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    61.02 : 84.24 = 54.48 : x
  2. Step 2: Convert to fraction form
    61.02/84.24 = 54.48/x
  3. Step 3: Cross multiply
    61.02x = 84.24 × 54.48
  4. Step 4: Simplify right side
    61.02x = 4,589.40
  5. Step 5: Solve for x
    x = 4,589.40/61.02
  6. Step 6: Final answer
    x = 75.21

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.