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Finding the Fourth Proportional to 54.16, 74.82 and 44.54

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Solution

The fourth proportional to 54.16, 74.82 and 44.54 is: 61.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    54.16 : 74.82 = 44.54 : x
  2. Step 2: Convert to fraction form
    54.16/74.82 = 44.54/x
  3. Step 3: Cross multiply
    54.16x = 74.82 × 44.54
  4. Step 4: Simplify right side
    54.16x = 3,332.48
  5. Step 5: Solve for x
    x = 3,332.48/54.16
  6. Step 6: Final answer
    x = 61.53

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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.