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Finding the Fourth Proportional to 92.28, 137.74 and 83.08

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Solution

The fourth proportional to 92.28, 137.74 and 83.08 is: 124.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    92.28 : 137.74 = 83.08 : x
  2. Step 2: Convert to fraction form
    92.28/137.74 = 83.08/x
  3. Step 3: Cross multiply
    92.28x = 137.74 × 83.08
  4. Step 4: Simplify right side
    92.28x = 11,443.44
  5. Step 5: Solve for x
    x = 11,443.44/92.28
  6. Step 6: Final answer
    x = 124.01

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.