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Finding the Fourth Proportional to 8.69, 13.10 and 7.37

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Solution

The fourth proportional to 8.69, 13.10 and 7.37 is: 11.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    8.69 : 13.10 = 7.37 : x
  2. Step 2: Convert to fraction form
    8.69/13.10 = 7.37/x
  3. Step 3: Cross multiply
    8.69x = 13.10 × 7.37
  4. Step 4: Simplify right side
    8.69x = 96.55
  5. Step 5: Solve for x
    x = 96.55/8.69
  6. Step 6: Final answer
    x = 11.11

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.