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Finding the Fourth Proportional to 23.29, 32.08 and 16.81

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Solution

The fourth proportional to 23.29, 32.08 and 16.81 is: 23.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    23.29 : 32.08 = 16.81 : x
  2. Step 2: Convert to fraction form
    23.29/32.08 = 16.81/x
  3. Step 3: Cross multiply
    23.29x = 32.08 × 16.81
  4. Step 4: Simplify right side
    23.29x = 539.26
  5. Step 5: Solve for x
    x = 539.26/23.29
  6. Step 6: Final answer
    x = 23.15

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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.