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Finding the Fourth Proportional to 147.06, 219.60 and 120.06

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Solution

The fourth proportional to 147.06, 219.60 and 120.06 is: 179.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    147.06 : 219.60 = 120.06 : x
  2. Step 2: Convert to fraction form
    147.06/219.60 = 120.06/x
  3. Step 3: Cross multiply
    147.06x = 219.60 × 120.06
  4. Step 4: Simplify right side
    147.06x = 26,365.18
  5. Step 5: Solve for x
    x = 26,365.18/147.06
  6. Step 6: Final answer
    x = 179.28

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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.