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Finding the Fourth Proportional to 105.18, 145.81 and 102.75

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Solution

The fourth proportional to 105.18, 145.81 and 102.75 is: 142.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    105.18 : 145.81 = 102.75 : x
  2. Step 2: Convert to fraction form
    105.18/145.81 = 102.75/x
  3. Step 3: Cross multiply
    105.18x = 145.81 × 102.75
  4. Step 4: Simplify right side
    105.18x = 14,981.98
  5. Step 5: Solve for x
    x = 14,981.98/105.18
  6. Step 6: Final answer
    x = 142.44

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.