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Finding the Fourth Proportional to 120.29, 179.62 and 110.06

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Solution

The fourth proportional to 120.29, 179.62 and 110.06 is: 164.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    120.29 : 179.62 = 110.06 : x
  2. Step 2: Convert to fraction form
    120.29/179.62 = 110.06/x
  3. Step 3: Cross multiply
    120.29x = 179.62 × 110.06
  4. Step 4: Simplify right side
    120.29x = 19,768.48
  5. Step 5: Solve for x
    x = 19,768.48/120.29
  6. Step 6: Final answer
    x = 164.35

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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.