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Finding the Fourth Proportional to 24.65, 34.00 and 15.91

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Solution

The fourth proportional to 24.65, 34.00 and 15.91 is: 21.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    24.65 : 34.00 = 15.91 : x
  2. Step 2: Convert to fraction form
    24.65/34.00 = 15.91/x
  3. Step 3: Cross multiply
    24.65x = 34.00 × 15.91
  4. Step 4: Simplify right side
    24.65x = 540.69
  5. Step 5: Solve for x
    x = 540.69/24.65
  6. Step 6: Final answer
    x = 21.93

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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.