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Finding the Fourth Proportional to 10.15, 14.01 and 9.82

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Solution

The fourth proportional to 10.15, 14.01 and 9.82 is: 13.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    10.15 : 14.01 = 9.82 : x
  2. Step 2: Convert to fraction form
    10.15/14.01 = 9.82/x
  3. Step 3: Cross multiply
    10.15x = 14.01 × 9.82
  4. Step 4: Simplify right side
    10.15x = 137.58
  5. Step 5: Solve for x
    x = 137.58/10.15
  6. Step 6: Final answer
    x = 13.55

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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.