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Finding the Fourth Proportional to 24.32, 36.46 and 9.10

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Solution

The fourth proportional to 24.32, 36.46 and 9.10 is: 13.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    24.32 : 36.46 = 9.10 : x
  2. Step 2: Convert to fraction form
    24.32/36.46 = 9.10/x
  3. Step 3: Cross multiply
    24.32x = 36.46 × 9.10
  4. Step 4: Simplify right side
    24.32x = 331.74
  5. Step 5: Solve for x
    x = 331.74/24.32
  6. Step 6: Final answer
    x = 13.64

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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.