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Finding the Fourth Proportional to 33, 45.57 and 24.42

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Solution

The fourth proportional to 33, 45.57 and 24.42 is: 33.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    33 : 45.57 = 24.42 : x
  2. Step 2: Convert to fraction form
    33/45.57 = 24.42/x
  3. Step 3: Cross multiply
    33x = 45.57 × 24.42
  4. Step 4: Simplify right side
    33x = 1,112.82
  5. Step 5: Solve for x
    x = 1,112.82/33
  6. Step 6: Final answer
    x = 33.72

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