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Finding the Fourth Proportional to 9.69, 14.54 and 8.02

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Solution

The fourth proportional to 9.69, 14.54 and 8.02 is: 12.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    9.69 : 14.54 = 8.02 : x
  2. Step 2: Convert to fraction form
    9.69/14.54 = 8.02/x
  3. Step 3: Cross multiply
    9.69x = 14.54 × 8.02
  4. Step 4: Simplify right side
    9.69x = 116.50
  5. Step 5: Solve for x
    x = 116.50/9.69
  6. Step 6: Final answer
    x = 12.02

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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.