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Finding the Fourth Proportional to 104.16, 155.88 and 80.16

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Solution

The fourth proportional to 104.16, 155.88 and 80.16 is: 119.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    104.16 : 155.88 = 80.16 : x
  2. Step 2: Convert to fraction form
    104.16/155.88 = 80.16/x
  3. Step 3: Cross multiply
    104.16x = 155.88 × 80.16
  4. Step 4: Simplify right side
    104.16x = 12,495.34
  5. Step 5: Solve for x
    x = 12,495.34/104.16
  6. Step 6: Final answer
    x = 119.96

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.