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Finding the Fourth Proportional to 9.65, 14.40 and 8.53

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Solution

The fourth proportional to 9.65, 14.40 and 8.53 is: 12.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    9.65 : 14.40 = 8.53 : x
  2. Step 2: Convert to fraction form
    9.65/14.40 = 8.53/x
  3. Step 3: Cross multiply
    9.65x = 14.40 × 8.53
  4. Step 4: Simplify right side
    9.65x = 122.83
  5. Step 5: Solve for x
    x = 122.83/9.65
  6. Step 6: Final answer
    x = 12.73

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.