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Finding the Fourth Proportional to 33, 49.49 and 30.77

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Solution

The fourth proportional to 33, 49.49 and 30.77 is: 46.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    33 : 49.49 = 30.77 : x
  2. Step 2: Convert to fraction form
    33/49.49 = 30.77/x
  3. Step 3: Cross multiply
    33x = 49.49 × 30.77
  4. Step 4: Simplify right side
    33x = 1,522.81
  5. Step 5: Solve for x
    x = 1,522.81/33
  6. Step 6: Final answer
    x = 46.15

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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.