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Finding the Fourth Proportional to 54.38, 74.98 and 49.20

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Solution

The fourth proportional to 54.38, 74.98 and 49.20 is: 67.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    54.38 : 74.98 = 49.20 : x
  2. Step 2: Convert to fraction form
    54.38/74.98 = 49.20/x
  3. Step 3: Cross multiply
    54.38x = 74.98 × 49.20
  4. Step 4: Simplify right side
    54.38x = 3,689.02
  5. Step 5: Solve for x
    x = 3,689.02/54.38
  6. Step 6: Final answer
    x = 67.84

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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.