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Finding the Fourth Proportional to 74.88, 112.22 and 36.38

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Solution

The fourth proportional to 74.88, 112.22 and 36.38 is: 54.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    74.88 : 112.22 = 36.38 : x
  2. Step 2: Convert to fraction form
    74.88/112.22 = 36.38/x
  3. Step 3: Cross multiply
    74.88x = 112.22 × 36.38
  4. Step 4: Simplify right side
    74.88x = 4,081.82
  5. Step 5: Solve for x
    x = 4,081.82/74.88
  6. Step 6: Final answer
    x = 54.51

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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.