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Finding the Fourth Proportional to 92.44, 137.88 and 77.84

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Solution

The fourth proportional to 92.44, 137.88 and 77.84 is: 116.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    92.44 : 137.88 = 77.84 : x
  2. Step 2: Convert to fraction form
    92.44/137.88 = 77.84/x
  3. Step 3: Cross multiply
    92.44x = 137.88 × 77.84
  4. Step 4: Simplify right side
    92.44x = 10,732.58
  5. Step 5: Solve for x
    x = 10,732.58/92.44
  6. Step 6: Final answer
    x = 116.10

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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.