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Finding the Fourth Proportional to 104.22, 155.60 and 102.42

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Solution

The fourth proportional to 104.22, 155.60 and 102.42 is: 152.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    104.22 : 155.60 = 102.42 : x
  2. Step 2: Convert to fraction form
    104.22/155.60 = 102.42/x
  3. Step 3: Cross multiply
    104.22x = 155.60 × 102.42
  4. Step 4: Simplify right side
    104.22x = 15,936.04
  5. Step 5: Solve for x
    x = 15,936.04/104.22
  6. Step 6: Final answer
    x = 152.91

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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.