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Finding the Fourth Proportional to 106.83, 161.01 and 104.40

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Solution

The fourth proportional to 106.83, 161.01 and 104.40 is: 157.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    106.83 : 161.01 = 104.40 : x
  2. Step 2: Convert to fraction form
    106.83/161.01 = 104.40/x
  3. Step 3: Cross multiply
    106.83x = 161.01 × 104.40
  4. Step 4: Simplify right side
    106.83x = 16,809.44
  5. Step 5: Solve for x
    x = 16,809.44/106.83
  6. Step 6: Final answer
    x = 157.35

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.