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Finding the Fourth Proportional to 47.65, 71.48 and 21.97

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Solution

The fourth proportional to 47.65, 71.48 and 21.97 is: 32.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    47.65 : 71.48 = 21.97 : x
  2. Step 2: Convert to fraction form
    47.65/71.48 = 21.97/x
  3. Step 3: Cross multiply
    47.65x = 71.48 × 21.97
  4. Step 4: Simplify right side
    47.65x = 1,570.31
  5. Step 5: Solve for x
    x = 1,570.31/47.65
  6. Step 6: Final answer
    x = 32.96

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.