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Finding the Fourth Proportional to 33.41, 45.88 and 29.50

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Solution

The fourth proportional to 33.41, 45.88 and 29.50 is: 40.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    33.41 : 45.88 = 29.50 : x
  2. Step 2: Convert to fraction form
    33.41/45.88 = 29.50/x
  3. Step 3: Cross multiply
    33.41x = 45.88 × 29.50
  4. Step 4: Simplify right side
    33.41x = 1,353.46
  5. Step 5: Solve for x
    x = 1,353.46/33.41
  6. Step 6: Final answer
    x = 40.51

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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.