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Finding the Fourth Proportional to 33.02, 49.53 and 16.76

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Solution

The fourth proportional to 33.02, 49.53 and 16.76 is: 25.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    33.02 : 49.53 = 16.76 : x
  2. Step 2: Convert to fraction form
    33.02/49.53 = 16.76/x
  3. Step 3: Cross multiply
    33.02x = 49.53 × 16.76
  4. Step 4: Simplify right side
    33.02x = 830.12
  5. Step 5: Solve for x
    x = 830.12/33.02
  6. Step 6: Final answer
    x = 25.14

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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.