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Finding the Fourth Proportional to 138.02, 190.46 and 75.84

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Solution

The fourth proportional to 138.02, 190.46 and 75.84 is: 104.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    138.02 : 190.46 = 75.84 : x
  2. Step 2: Convert to fraction form
    138.02/190.46 = 75.84/x
  3. Step 3: Cross multiply
    138.02x = 190.46 × 75.84
  4. Step 4: Simplify right side
    138.02x = 14,443.53
  5. Step 5: Solve for x
    x = 14,443.53/138.02
  6. Step 6: Final answer
    x = 104.65

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.