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Finding the Fourth Proportional to 24.62, 36.74 and 22.07

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Solution

The fourth proportional to 24.62, 36.74 and 22.07 is: 32.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    24.62 : 36.74 = 22.07 : x
  2. Step 2: Convert to fraction form
    24.62/36.74 = 22.07/x
  3. Step 3: Cross multiply
    24.62x = 36.74 × 22.07
  4. Step 4: Simplify right side
    24.62x = 810.87
  5. Step 5: Solve for x
    x = 810.87/24.62
  6. Step 6: Final answer
    x = 32.93

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.