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Finding the Fourth Proportional to 54.08, 74.70 and 49.13

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Solution

The fourth proportional to 54.08, 74.70 and 49.13 is: 67.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    54.08 : 74.70 = 49.13 : x
  2. Step 2: Convert to fraction form
    54.08/74.70 = 49.13/x
  3. Step 3: Cross multiply
    54.08x = 74.70 × 49.13
  4. Step 4: Simplify right side
    54.08x = 3,669.64
  5. Step 5: Solve for x
    x = 3,669.64/54.08
  6. Step 6: Final answer
    x = 67.86

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.