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Finding the Fourth Proportional to 7.13, 9.90 and 6.96

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Solution

The fourth proportional to 7.13, 9.90 and 6.96 is: 9.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    7.13 : 9.90 = 6.96 : x
  2. Step 2: Convert to fraction form
    7.13/9.90 = 6.96/x
  3. Step 3: Cross multiply
    7.13x = 9.90 × 6.96
  4. Step 4: Simplify right side
    7.13x = 68.90
  5. Step 5: Solve for x
    x = 68.90/7.13
  6. Step 6: Final answer
    x = 9.66

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.