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Finding the Fourth Proportional to 54.26, 74.88 and 31.26

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Solution

The fourth proportional to 54.26, 74.88 and 31.26 is: 43.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    54.26 : 74.88 = 31.26 : x
  2. Step 2: Convert to fraction form
    54.26/74.88 = 31.26/x
  3. Step 3: Cross multiply
    54.26x = 74.88 × 31.26
  4. Step 4: Simplify right side
    54.26x = 2,340.75
  5. Step 5: Solve for x
    x = 2,340.75/54.26
  6. Step 6: Final answer
    x = 43.14

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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.