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Finding the Fourth Proportional to 47.72, 65.94 and 39.08

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Solution

The fourth proportional to 47.72, 65.94 and 39.08 is: 54.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    47.72 : 65.94 = 39.08 : x
  2. Step 2: Convert to fraction form
    47.72/65.94 = 39.08/x
  3. Step 3: Cross multiply
    47.72x = 65.94 × 39.08
  4. Step 4: Simplify right side
    47.72x = 2,576.94
  5. Step 5: Solve for x
    x = 2,576.94/47.72
  6. Step 6: Final answer
    x = 54.00

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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.