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Finding the Fourth Proportional to 191.08, 263.68 and 103.75

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Solution

The fourth proportional to 191.08, 263.68 and 103.75 is: 143.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    191.08 : 263.68 = 103.75 : x
  2. Step 2: Convert to fraction form
    191.08/263.68 = 103.75/x
  3. Step 3: Cross multiply
    191.08x = 263.68 × 103.75
  4. Step 4: Simplify right side
    191.08x = 27,356.47
  5. Step 5: Solve for x
    x = 27,356.47/191.08
  6. Step 6: Final answer
    x = 143.17

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.