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Finding the Fourth Proportional to 33.72, 46.53 and 22.07

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Solution

The fourth proportional to 33.72, 46.53 and 22.07 is: 30.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    33.72 : 46.53 = 22.07 : x
  2. Step 2: Convert to fraction form
    33.72/46.53 = 22.07/x
  3. Step 3: Cross multiply
    33.72x = 46.53 × 22.07
  4. Step 4: Simplify right side
    33.72x = 1,026.68
  5. Step 5: Solve for x
    x = 1,026.68/33.72
  6. Step 6: Final answer
    x = 30.45

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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.