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Finding the Fourth Proportional to 54.16, 81.12 and 28.44

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Solution

The fourth proportional to 54.16, 81.12 and 28.44 is: 42.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    54.16 : 81.12 = 28.44 : x
  2. Step 2: Convert to fraction form
    54.16/81.12 = 28.44/x
  3. Step 3: Cross multiply
    54.16x = 81.12 × 28.44
  4. Step 4: Simplify right side
    54.16x = 2,307.05
  5. Step 5: Solve for x
    x = 2,307.05/54.16
  6. Step 6: Final answer
    x = 42.60

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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.