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Finding the Fourth Proportional to 130.03, 195.04 and 33.84

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Solution

The fourth proportional to 130.03, 195.04 and 33.84 is: 50.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    130.03 : 195.04 = 33.84 : x
  2. Step 2: Convert to fraction form
    130.03/195.04 = 33.84/x
  3. Step 3: Cross multiply
    130.03x = 195.04 × 33.84
  4. Step 4: Simplify right side
    130.03x = 6,600.15
  5. Step 5: Solve for x
    x = 6,600.15/130.03
  6. Step 6: Final answer
    x = 50.76

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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.