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Finding the Fourth Proportional to 102.02, 152.91 and 33.48

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Solution

The fourth proportional to 102.02, 152.91 and 33.48 is: 50.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    102.02 : 152.91 = 33.48 : x
  2. Step 2: Convert to fraction form
    102.02/152.91 = 33.48/x
  3. Step 3: Cross multiply
    102.02x = 152.91 × 33.48
  4. Step 4: Simplify right side
    102.02x = 5,119.43
  5. Step 5: Solve for x
    x = 5,119.43/102.02
  6. Step 6: Final answer
    x = 50.18

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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.