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Finding the Fourth Proportional to 146.78, 202.74 and 110.12

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Solution

The fourth proportional to 146.78, 202.74 and 110.12 is: 152.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    146.78 : 202.74 = 110.12 : x
  2. Step 2: Convert to fraction form
    146.78/202.74 = 110.12/x
  3. Step 3: Cross multiply
    146.78x = 202.74 × 110.12
  4. Step 4: Simplify right side
    146.78x = 22,325.73
  5. Step 5: Solve for x
    x = 22,325.73/146.78
  6. Step 6: Final answer
    x = 152.10

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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.