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Finding the Fourth Proportional to 37.39, 51.58 and 22.63

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Solution

The fourth proportional to 37.39, 51.58 and 22.63 is: 31.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    37.39 : 51.58 = 22.63 : x
  2. Step 2: Convert to fraction form
    37.39/51.58 = 22.63/x
  3. Step 3: Cross multiply
    37.39x = 51.58 × 22.63
  4. Step 4: Simplify right side
    37.39x = 1,167.26
  5. Step 5: Solve for x
    x = 1,167.26/37.39
  6. Step 6: Final answer
    x = 31.22

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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.