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Finding the Fourth Proportional to 105.28, 145.12 and 102.08

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Solution

The fourth proportional to 105.28, 145.12 and 102.08 is: 140.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    105.28 : 145.12 = 102.08 : x
  2. Step 2: Convert to fraction form
    105.28/145.12 = 102.08/x
  3. Step 3: Cross multiply
    105.28x = 145.12 × 102.08
  4. Step 4: Simplify right side
    105.28x = 14,813.85
  5. Step 5: Solve for x
    x = 14,813.85/105.28
  6. Step 6: Final answer
    x = 140.71

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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.