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Finding the Fourth Proportional to 7.90, 10.97 and 7.56

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Solution

The fourth proportional to 7.90, 10.97 and 7.56 is: 10.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    7.90 : 10.97 = 7.56 : x
  2. Step 2: Convert to fraction form
    7.90/10.97 = 7.56/x
  3. Step 3: Cross multiply
    7.90x = 10.97 × 7.56
  4. Step 4: Simplify right side
    7.90x = 82.92
  5. Step 5: Solve for x
    x = 82.92/7.90
  6. Step 6: Final answer
    x = 10.50

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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.