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Finding the Fourth Proportional to 105.27, 145.22 and 75.75

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Solution

The fourth proportional to 105.27, 145.22 and 75.75 is: 104.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    105.27 : 145.22 = 75.75 : x
  2. Step 2: Convert to fraction form
    105.27/145.22 = 75.75/x
  3. Step 3: Cross multiply
    105.27x = 145.22 × 75.75
  4. Step 4: Simplify right side
    105.27x = 11,000.42
  5. Step 5: Solve for x
    x = 11,000.42/105.27
  6. Step 6: Final answer
    x = 104.50

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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.