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Finding the Fourth Proportional to 12.46, 17.20 and 10.65

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Solution

The fourth proportional to 12.46, 17.20 and 10.65 is: 14.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    12.46 : 17.20 = 10.65 : x
  2. Step 2: Convert to fraction form
    12.46/17.20 = 10.65/x
  3. Step 3: Cross multiply
    12.46x = 17.20 × 10.65
  4. Step 4: Simplify right side
    12.46x = 183.18
  5. Step 5: Solve for x
    x = 183.18/12.46
  6. Step 6: Final answer
    x = 14.70

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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.