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Finding the Fourth Proportional to 99.81, 137.57 and 83.27

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Solution

The fourth proportional to 99.81, 137.57 and 83.27 is: 114.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    99.81 : 137.57 = 83.27 : x
  2. Step 2: Convert to fraction form
    99.81/137.57 = 83.27/x
  3. Step 3: Cross multiply
    99.81x = 137.57 × 83.27
  4. Step 4: Simplify right side
    99.81x = 11,455.38
  5. Step 5: Solve for x
    x = 11,455.38/99.81
  6. Step 6: Final answer
    x = 114.77

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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.