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Finding the Fourth Proportional to 7.70, 11.50 and 7.38

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Solution

The fourth proportional to 7.70, 11.50 and 7.38 is: 11.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    7.70 : 11.50 = 7.38 : x
  2. Step 2: Convert to fraction form
    7.70/11.50 = 7.38/x
  3. Step 3: Cross multiply
    7.70x = 11.50 × 7.38
  4. Step 4: Simplify right side
    7.70x = 84.87
  5. Step 5: Solve for x
    x = 84.87/7.70
  6. Step 6: Final answer
    x = 11.02

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.