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Finding the Fourth Proportional to 9.65, 14.45 and 8.54

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Solution

The fourth proportional to 9.65, 14.45 and 8.54 is: 12.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    9.65 : 14.45 = 8.54 : x
  2. Step 2: Convert to fraction form
    9.65/14.45 = 8.54/x
  3. Step 3: Cross multiply
    9.65x = 14.45 × 8.54
  4. Step 4: Simplify right side
    9.65x = 123.34
  5. Step 5: Solve for x
    x = 123.34/9.65
  6. Step 6: Final answer
    x = 12.78

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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.