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Finding the Fourth Proportional to 33.12, 45.60 and 27.66

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Solution

The fourth proportional to 33.12, 45.60 and 27.66 is: 38.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    33.12 : 45.60 = 27.66 : x
  2. Step 2: Convert to fraction form
    33.12/45.60 = 27.66/x
  3. Step 3: Cross multiply
    33.12x = 45.60 × 27.66
  4. Step 4: Simplify right side
    33.12x = 1,261.30
  5. Step 5: Solve for x
    x = 1,261.30/33.12
  6. Step 6: Final answer
    x = 38.08

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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.