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Finding the Fourth Proportional to 54.46, 81.70 and 22.40

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Solution

The fourth proportional to 54.46, 81.70 and 22.40 is: 33.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    54.46 : 81.70 = 22.40 : x
  2. Step 2: Convert to fraction form
    54.46/81.70 = 22.40/x
  3. Step 3: Cross multiply
    54.46x = 81.70 × 22.40
  4. Step 4: Simplify right side
    54.46x = 1,830.08
  5. Step 5: Solve for x
    x = 1,830.08/54.46
  6. Step 6: Final answer
    x = 33.60

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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.