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Finding the Fourth Proportional to 10.34, 14.31 and 8.84

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Solution

The fourth proportional to 10.34, 14.31 and 8.84 is: 12.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    10.34 : 14.31 = 8.84 : x
  2. Step 2: Convert to fraction form
    10.34/14.31 = 8.84/x
  3. Step 3: Cross multiply
    10.34x = 14.31 × 8.84
  4. Step 4: Simplify right side
    10.34x = 126.50
  5. Step 5: Solve for x
    x = 126.50/10.34
  6. Step 6: Final answer
    x = 12.23

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.