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Finding the Fourth Proportional to 191.06, 263.63 and 108.14

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Solution

The fourth proportional to 191.06, 263.63 and 108.14 is: 149.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    191.06 : 263.63 = 108.14 : x
  2. Step 2: Convert to fraction form
    191.06/263.63 = 108.14/x
  3. Step 3: Cross multiply
    191.06x = 263.63 × 108.14
  4. Step 4: Simplify right side
    191.06x = 28,507.09
  5. Step 5: Solve for x
    x = 28,507.09/191.06
  6. Step 6: Final answer
    x = 149.21

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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.