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Finding the Fourth Proportional to 190.04, 285.08 and 81.84

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Solution

The fourth proportional to 190.04, 285.08 and 81.84 is: 122.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    190.04 : 285.08 = 81.84 : x
  2. Step 2: Convert to fraction form
    190.04/285.08 = 81.84/x
  3. Step 3: Cross multiply
    190.04x = 285.08 × 81.84
  4. Step 4: Simplify right side
    190.04x = 23,330.95
  5. Step 5: Solve for x
    x = 23,330.95/190.04
  6. Step 6: Final answer
    x = 122.77

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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.