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Finding the Fourth Proportional to 23.29, 32.09 and 17.75

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Solution

The fourth proportional to 23.29, 32.09 and 17.75 is: 24.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    23.29 : 32.09 = 17.75 : x
  2. Step 2: Convert to fraction form
    23.29/32.09 = 17.75/x
  3. Step 3: Cross multiply
    23.29x = 32.09 × 17.75
  4. Step 4: Simplify right side
    23.29x = 569.35
  5. Step 5: Solve for x
    x = 569.35/23.29
  6. Step 6: Final answer
    x = 24.45

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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.