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Finding the Fourth Proportional to 54.98, 82.32 and 42.16

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Solution

The fourth proportional to 54.98, 82.32 and 42.16 is: 63.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    54.98 : 82.32 = 42.16 : x
  2. Step 2: Convert to fraction form
    54.98/82.32 = 42.16/x
  3. Step 3: Cross multiply
    54.98x = 82.32 × 42.16
  4. Step 4: Simplify right side
    54.98x = 3,470.61
  5. Step 5: Solve for x
    x = 3,470.61/54.98
  6. Step 6: Final answer
    x = 63.12

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.