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Finding the Fourth Proportional to 7.32, 10.97 and 2.24

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Solution

The fourth proportional to 7.32, 10.97 and 2.24 is: 3.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    7.32 : 10.97 = 2.24 : x
  2. Step 2: Convert to fraction form
    7.32/10.97 = 2.24/x
  3. Step 3: Cross multiply
    7.32x = 10.97 × 2.24
  4. Step 4: Simplify right side
    7.32x = 24.63
  5. Step 5: Solve for x
    x = 24.63/7.32
  6. Step 6: Final answer
    x = 3.37

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.