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Finding the Fourth Proportional to 195.12, 292.14 and 103.86

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Solution

The fourth proportional to 195.12, 292.14 and 103.86 is: 155.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    195.12 : 292.14 = 103.86 : x
  2. Step 2: Convert to fraction form
    195.12/292.14 = 103.86/x
  3. Step 3: Cross multiply
    195.12x = 292.14 × 103.86
  4. Step 4: Simplify right side
    195.12x = 30,341.66
  5. Step 5: Solve for x
    x = 30,341.66/195.12
  6. Step 6: Final answer
    x = 155.50

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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.