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Finding the Fourth Proportional to 190.60, 285.85 and 75.04

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Solution

The fourth proportional to 190.60, 285.85 and 75.04 is: 112.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    190.60 : 285.85 = 75.04 : x
  2. Step 2: Convert to fraction form
    190.60/285.85 = 75.04/x
  3. Step 3: Cross multiply
    190.60x = 285.85 × 75.04
  4. Step 4: Simplify right side
    190.60x = 21,450.18
  5. Step 5: Solve for x
    x = 21,450.18/190.60
  6. Step 6: Final answer
    x = 112.54

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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.