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Finding the Fourth Proportional to 102.31, 153.43 and 33.84

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Solution

The fourth proportional to 102.31, 153.43 and 33.84 is: 50.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    102.31 : 153.43 = 33.84 : x
  2. Step 2: Convert to fraction form
    102.31/153.43 = 33.84/x
  3. Step 3: Cross multiply
    102.31x = 153.43 × 33.84
  4. Step 4: Simplify right side
    102.31x = 5,192.07
  5. Step 5: Solve for x
    x = 5,192.07/102.31
  6. Step 6: Final answer
    x = 50.75

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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.