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Finding the Fourth Proportional to 146.41, 202.14 and 107.14

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Solution

The fourth proportional to 146.41, 202.14 and 107.14 is: 147.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    146.41 : 202.14 = 107.14 : x
  2. Step 2: Convert to fraction form
    146.41/202.14 = 107.14/x
  3. Step 3: Cross multiply
    146.41x = 202.14 × 107.14
  4. Step 4: Simplify right side
    146.41x = 21,657.28
  5. Step 5: Solve for x
    x = 21,657.28/146.41
  6. Step 6: Final answer
    x = 147.92

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Why These Related Problems?

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