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Finding the Fourth Proportional to 190.57, 285.78 and 60.54

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Solution

The fourth proportional to 190.57, 285.78 and 60.54 is: 90.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    190.57 : 285.78 = 60.54 : x
  2. Step 2: Convert to fraction form
    190.57/285.78 = 60.54/x
  3. Step 3: Cross multiply
    190.57x = 285.78 × 60.54
  4. Step 4: Simplify right side
    190.57x = 17,301.12
  5. Step 5: Solve for x
    x = 17,301.12/190.57
  6. Step 6: Final answer
    x = 90.79

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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.