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Finding the Fourth Proportional to 102.36, 153.47 and 33.87

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Solution

The fourth proportional to 102.36, 153.47 and 33.87 is: 50.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    102.36 : 153.47 = 33.87 : x
  2. Step 2: Convert to fraction form
    102.36/153.47 = 33.87/x
  3. Step 3: Cross multiply
    102.36x = 153.47 × 33.87
  4. Step 4: Simplify right side
    102.36x = 5,197.73
  5. Step 5: Solve for x
    x = 5,197.73/102.36
  6. Step 6: Final answer
    x = 50.78

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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.