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Finding the Fourth Proportional to 23.61, 32.52 and 20.17

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Solution

The fourth proportional to 23.61, 32.52 and 20.17 is: 27.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    23.61 : 32.52 = 20.17 : x
  2. Step 2: Convert to fraction form
    23.61/32.52 = 20.17/x
  3. Step 3: Cross multiply
    23.61x = 32.52 × 20.17
  4. Step 4: Simplify right side
    23.61x = 655.93
  5. Step 5: Solve for x
    x = 655.93/23.61
  6. Step 6: Final answer
    x = 27.78

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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.