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Finding the Fourth Proportional to 22.49, 33.75 and 9.65

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Solution

The fourth proportional to 22.49, 33.75 and 9.65 is: 14.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    22.49 : 33.75 = 9.65 : x
  2. Step 2: Convert to fraction form
    22.49/33.75 = 9.65/x
  3. Step 3: Cross multiply
    22.49x = 33.75 × 9.65
  4. Step 4: Simplify right side
    22.49x = 325.73
  5. Step 5: Solve for x
    x = 325.73/22.49
  6. Step 6: Final answer
    x = 14.48

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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.