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Finding the Fourth Proportional to 9.61, 14.34 and 8.85

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Solution

The fourth proportional to 9.61, 14.34 and 8.85 is: 13.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    9.61 : 14.34 = 8.85 : x
  2. Step 2: Convert to fraction form
    9.61/14.34 = 8.85/x
  3. Step 3: Cross multiply
    9.61x = 14.34 × 8.85
  4. Step 4: Simplify right side
    9.61x = 126.91
  5. Step 5: Solve for x
    x = 126.91/9.61
  6. Step 6: Final answer
    x = 13.21

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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.