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Finding the Fourth Proportional to 191.65, 287.42 and 94.09

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Solution

The fourth proportional to 191.65, 287.42 and 94.09 is: 141.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    191.65 : 287.42 = 94.09 : x
  2. Step 2: Convert to fraction form
    191.65/287.42 = 94.09/x
  3. Step 3: Cross multiply
    191.65x = 287.42 × 94.09
  4. Step 4: Simplify right side
    191.65x = 27,043.35
  5. Step 5: Solve for x
    x = 27,043.35/191.65
  6. Step 6: Final answer
    x = 141.11

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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.