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Finding the Fourth Proportional to 23.29, 34.90 and 9.75

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Solution

The fourth proportional to 23.29, 34.90 and 9.75 is: 14.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    23.29 : 34.90 = 9.75 : x
  2. Step 2: Convert to fraction form
    23.29/34.90 = 9.75/x
  3. Step 3: Cross multiply
    23.29x = 34.90 × 9.75
  4. Step 4: Simplify right side
    23.29x = 340.38
  5. Step 5: Solve for x
    x = 340.38/23.29
  6. Step 6: Final answer
    x = 14.62

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.