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Finding the Fourth Proportional to 92.39, 137.93 and 83.88

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Solution

The fourth proportional to 92.39, 137.93 and 83.88 is: 125.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    92.39 : 137.93 = 83.88 : x
  2. Step 2: Convert to fraction form
    92.39/137.93 = 83.88/x
  3. Step 3: Cross multiply
    92.39x = 137.93 × 83.88
  4. Step 4: Simplify right side
    92.39x = 11,569.15
  5. Step 5: Solve for x
    x = 11,569.15/92.39
  6. Step 6: Final answer
    x = 125.23

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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.