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Finding the Fourth Proportional to 191.36, 287.04 and 83.14

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Solution

The fourth proportional to 191.36, 287.04 and 83.14 is: 124.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    191.36 : 287.04 = 83.14 : x
  2. Step 2: Convert to fraction form
    191.36/287.04 = 83.14/x
  3. Step 3: Cross multiply
    191.36x = 287.04 × 83.14
  4. Step 4: Simplify right side
    191.36x = 23,863.07
  5. Step 5: Solve for x
    x = 23,863.07/191.36
  6. Step 6: Final answer
    x = 124.70

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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.