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Finding the Fourth Proportional to 190.55, 285.93 and 75.06

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Solution

The fourth proportional to 190.55, 285.93 and 75.06 is: 112.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    190.55 : 285.93 = 75.06 : x
  2. Step 2: Convert to fraction form
    190.55/285.93 = 75.06/x
  3. Step 3: Cross multiply
    190.55x = 285.93 × 75.06
  4. Step 4: Simplify right side
    190.55x = 21,461.91
  5. Step 5: Solve for x
    x = 21,461.91/190.55
  6. Step 6: Final answer
    x = 112.63

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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.