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Finding the Fourth Proportional to 10.30, 14.23 and 9.08

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Solution

The fourth proportional to 10.30, 14.23 and 9.08 is: 12.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    10.30 : 14.23 = 9.08 : x
  2. Step 2: Convert to fraction form
    10.30/14.23 = 9.08/x
  3. Step 3: Cross multiply
    10.30x = 14.23 × 9.08
  4. Step 4: Simplify right side
    10.30x = 129.21
  5. Step 5: Solve for x
    x = 129.21/10.30
  6. Step 6: Final answer
    x = 12.55

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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.