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Finding the Fourth Proportional to 23.29, 32.13 and 14.55

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Solution

The fourth proportional to 23.29, 32.13 and 14.55 is: 20.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    23.29 : 32.13 = 14.55 : x
  2. Step 2: Convert to fraction form
    23.29/32.13 = 14.55/x
  3. Step 3: Cross multiply
    23.29x = 32.13 × 14.55
  4. Step 4: Simplify right side
    23.29x = 467.42
  5. Step 5: Solve for x
    x = 467.42/23.29
  6. Step 6: Final answer
    x = 20.07

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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.