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Finding the Fourth Proportional to 24.32, 36.46 and 7.19

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Solution

The fourth proportional to 24.32, 36.46 and 7.19 is: 10.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    24.32 : 36.46 = 7.19 : x
  2. Step 2: Convert to fraction form
    24.32/36.46 = 7.19/x
  3. Step 3: Cross multiply
    24.32x = 36.46 × 7.19
  4. Step 4: Simplify right side
    24.32x = 262.19
  5. Step 5: Solve for x
    x = 262.19/24.32
  6. Step 6: Final answer
    x = 10.78

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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.