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Finding the Fourth Proportional to 9.66, 14.49 and 8.53

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Solution

The fourth proportional to 9.66, 14.49 and 8.53 is: 12.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    9.66 : 14.49 = 8.53 : x
  2. Step 2: Convert to fraction form
    9.66/14.49 = 8.53/x
  3. Step 3: Cross multiply
    9.66x = 14.49 × 8.53
  4. Step 4: Simplify right side
    9.66x = 123.60
  5. Step 5: Solve for x
    x = 123.60/9.66
  6. Step 6: Final answer
    x = 12.80

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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.