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Finding the Fourth Proportional to 54.08, 74.61 and 53.03

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Solution

The fourth proportional to 54.08, 74.61 and 53.03 is: 73.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    54.08 : 74.61 = 53.03 : x
  2. Step 2: Convert to fraction form
    54.08/74.61 = 53.03/x
  3. Step 3: Cross multiply
    54.08x = 74.61 × 53.03
  4. Step 4: Simplify right side
    54.08x = 3,956.20
  5. Step 5: Solve for x
    x = 3,956.20/54.08
  6. Step 6: Final answer
    x = 73.16

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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.