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Finding the Fourth Proportional to 23.29, 32.15 and 16.02

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Solution

The fourth proportional to 23.29, 32.15 and 16.02 is: 22.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    23.29 : 32.15 = 16.02 : x
  2. Step 2: Convert to fraction form
    23.29/32.15 = 16.02/x
  3. Step 3: Cross multiply
    23.29x = 32.15 × 16.02
  4. Step 4: Simplify right side
    23.29x = 515.04
  5. Step 5: Solve for x
    x = 515.04/23.29
  6. Step 6: Final answer
    x = 22.11

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.