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Finding the Fourth Proportional to 10.30, 14.24 and 9.75

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Solution

The fourth proportional to 10.30, 14.24 and 9.75 is: 13.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    10.30 : 14.24 = 9.75 : x
  2. Step 2: Convert to fraction form
    10.30/14.24 = 9.75/x
  3. Step 3: Cross multiply
    10.30x = 14.24 × 9.75
  4. Step 4: Simplify right side
    10.30x = 138.84
  5. Step 5: Solve for x
    x = 138.84/10.30
  6. Step 6: Final answer
    x = 13.48

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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.