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Finding the Fourth Proportional to 10.61, 15.82 and 9.90

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Solution

The fourth proportional to 10.61, 15.82 and 9.90 is: 14.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    10.61 : 15.82 = 9.90 : x
  2. Step 2: Convert to fraction form
    10.61/15.82 = 9.90/x
  3. Step 3: Cross multiply
    10.61x = 15.82 × 9.90
  4. Step 4: Simplify right side
    10.61x = 156.62
  5. Step 5: Solve for x
    x = 156.62/10.61
  6. Step 6: Final answer
    x = 14.76

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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.