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Finding the Fourth Proportional to 33.40, 49.98 and 30.52

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Solution

The fourth proportional to 33.40, 49.98 and 30.52 is: 45.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    33.40 : 49.98 = 30.52 : x
  2. Step 2: Convert to fraction form
    33.40/49.98 = 30.52/x
  3. Step 3: Cross multiply
    33.40x = 49.98 × 30.52
  4. Step 4: Simplify right side
    33.40x = 1,525.39
  5. Step 5: Solve for x
    x = 1,525.39/33.40
  6. Step 6: Final answer
    x = 45.67

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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.