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Finding the Fourth Proportional to 33.64, 46.06 and 32.56

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Solution

The fourth proportional to 33.64, 46.06 and 32.56 is: 44.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    33.64 : 46.06 = 32.56 : x
  2. Step 2: Convert to fraction form
    33.64/46.06 = 32.56/x
  3. Step 3: Cross multiply
    33.64x = 46.06 × 32.56
  4. Step 4: Simplify right side
    33.64x = 1,499.71
  5. Step 5: Solve for x
    x = 1,499.71/33.64
  6. Step 6: Final answer
    x = 44.58

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.