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Finding the Fourth Proportional to 7.13, 9.77 and 7.09

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Solution

The fourth proportional to 7.13, 9.77 and 7.09 is: 9.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    7.13 : 9.77 = 7.09 : x
  2. Step 2: Convert to fraction form
    7.13/9.77 = 7.09/x
  3. Step 3: Cross multiply
    7.13x = 9.77 × 7.09
  4. Step 4: Simplify right side
    7.13x = 69.27
  5. Step 5: Solve for x
    x = 69.27/7.13
  6. Step 6: Final answer
    x = 9.72

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.