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Finding the Fourth Proportional to 24.42, 36.64 and 7.31

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Solution

The fourth proportional to 24.42, 36.64 and 7.31 is: 10.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    24.42 : 36.64 = 7.31 : x
  2. Step 2: Convert to fraction form
    24.42/36.64 = 7.31/x
  3. Step 3: Cross multiply
    24.42x = 36.64 × 7.31
  4. Step 4: Simplify right side
    24.42x = 267.68
  5. Step 5: Solve for x
    x = 267.68/24.42
  6. Step 6: Final answer
    x = 10.96

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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.