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Finding the Fourth Proportional to 105.20, 145.12 and 92.92

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Solution

The fourth proportional to 105.20, 145.12 and 92.92 is: 128.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    105.20 : 145.12 = 92.92 : x
  2. Step 2: Convert to fraction form
    105.20/145.12 = 92.92/x
  3. Step 3: Cross multiply
    105.20x = 145.12 × 92.92
  4. Step 4: Simplify right side
    105.20x = 13,484.55
  5. Step 5: Solve for x
    x = 13,484.55/105.20
  6. Step 6: Final answer
    x = 128.18

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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.