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Finding the Fourth Proportional to 155.12, 214.04 and 120.88

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Solution

The fourth proportional to 155.12, 214.04 and 120.88 is: 166.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    155.12 : 214.04 = 120.88 : x
  2. Step 2: Convert to fraction form
    155.12/214.04 = 120.88/x
  3. Step 3: Cross multiply
    155.12x = 214.04 × 120.88
  4. Step 4: Simplify right side
    155.12x = 25,873.16
  5. Step 5: Solve for x
    x = 25,873.16/155.12
  6. Step 6: Final answer
    x = 166.79

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.