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Finding the Fourth Proportional to 191.47, 286.93 and 83.14

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Solution

The fourth proportional to 191.47, 286.93 and 83.14 is: 124.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    191.47 : 286.93 = 83.14 : x
  2. Step 2: Convert to fraction form
    191.47/286.93 = 83.14/x
  3. Step 3: Cross multiply
    191.47x = 286.93 × 83.14
  4. Step 4: Simplify right side
    191.47x = 23,855.36
  5. Step 5: Solve for x
    x = 23,855.36/191.47
  6. Step 6: Final answer
    x = 124.59

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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.