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Finding the Fourth Proportional to 104.34, 155.74 and 92.32

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Solution

The fourth proportional to 104.34, 155.74 and 92.32 is: 137.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    104.34 : 155.74 = 92.32 : x
  2. Step 2: Convert to fraction form
    104.34/155.74 = 92.32/x
  3. Step 3: Cross multiply
    104.34x = 155.74 × 92.32
  4. Step 4: Simplify right side
    104.34x = 14,377.92
  5. Step 5: Solve for x
    x = 14,377.92/104.34
  6. Step 6: Final answer
    x = 137.80

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