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Finding the Fourth Proportional to 74.82, 112.20 and 36.24

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Solution

The fourth proportional to 74.82, 112.20 and 36.24 is: 54.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    74.82 : 112.20 = 36.24 : x
  2. Step 2: Convert to fraction form
    74.82/112.20 = 36.24/x
  3. Step 3: Cross multiply
    74.82x = 112.20 × 36.24
  4. Step 4: Simplify right side
    74.82x = 4,066.13
  5. Step 5: Solve for x
    x = 4,066.13/74.82
  6. Step 6: Final answer
    x = 54.35

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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.