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Finding the Fourth Proportional to 40.53, 60.65 and 33.22

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Solution

The fourth proportional to 40.53, 60.65 and 33.22 is: 49.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    40.53 : 60.65 = 33.22 : x
  2. Step 2: Convert to fraction form
    40.53/60.65 = 33.22/x
  3. Step 3: Cross multiply
    40.53x = 60.65 × 33.22
  4. Step 4: Simplify right side
    40.53x = 2,014.32
  5. Step 5: Solve for x
    x = 2,014.32/40.53
  6. Step 6: Final answer
    x = 49.71

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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.