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Finding the Fourth Proportional to 10.77, 16.16 and 9.82

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Solution

The fourth proportional to 10.77, 16.16 and 9.82 is: 14.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    10.77 : 16.16 = 9.82 : x
  2. Step 2: Convert to fraction form
    10.77/16.16 = 9.82/x
  3. Step 3: Cross multiply
    10.77x = 16.16 × 9.82
  4. Step 4: Simplify right side
    10.77x = 158.69
  5. Step 5: Solve for x
    x = 158.69/10.77
  6. Step 6: Final answer
    x = 14.73

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.