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Finding the Fourth Proportional to 92.24, 137.86 and 83.60

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Solution

The fourth proportional to 92.24, 137.86 and 83.60 is: 124.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    92.24 : 137.86 = 83.60 : x
  2. Step 2: Convert to fraction form
    92.24/137.86 = 83.60/x
  3. Step 3: Cross multiply
    92.24x = 137.86 × 83.60
  4. Step 4: Simplify right side
    92.24x = 11,525.10
  5. Step 5: Solve for x
    x = 11,525.10/92.24
  6. Step 6: Final answer
    x = 124.95

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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.