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Finding the Fourth Proportional to 37.39, 51.57 and 22.84

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Solution

The fourth proportional to 37.39, 51.57 and 22.84 is: 31.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    37.39 : 51.57 = 22.84 : x
  2. Step 2: Convert to fraction form
    37.39/51.57 = 22.84/x
  3. Step 3: Cross multiply
    37.39x = 51.57 × 22.84
  4. Step 4: Simplify right side
    37.39x = 1,177.86
  5. Step 5: Solve for x
    x = 1,177.86/37.39
  6. Step 6: Final answer
    x = 31.50

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.