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Finding the Fourth Proportional to 10.77, 16.15 and 6.97

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Solution

The fourth proportional to 10.77, 16.15 and 6.97 is: 10.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    10.77 : 16.15 = 6.97 : x
  2. Step 2: Convert to fraction form
    10.77/16.15 = 6.97/x
  3. Step 3: Cross multiply
    10.77x = 16.15 × 6.97
  4. Step 4: Simplify right side
    10.77x = 112.57
  5. Step 5: Solve for x
    x = 112.57/10.77
  6. Step 6: Final answer
    x = 10.45

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