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Finding the Fourth Proportional to 54.59, 81.57 and 47.64

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Solution

The fourth proportional to 54.59, 81.57 and 47.64 is: 71.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    54.59 : 81.57 = 47.64 : x
  2. Step 2: Convert to fraction form
    54.59/81.57 = 47.64/x
  3. Step 3: Cross multiply
    54.59x = 81.57 × 47.64
  4. Step 4: Simplify right side
    54.59x = 3,886.36
  5. Step 5: Solve for x
    x = 3,886.36/54.59
  6. Step 6: Final answer
    x = 71.19

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.