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Finding the Fourth Proportional to 146.46, 202.14 and 97.36

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Solution

The fourth proportional to 146.46, 202.14 and 97.36 is: 134.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    146.46 : 202.14 = 97.36 : x
  2. Step 2: Convert to fraction form
    146.46/202.14 = 97.36/x
  3. Step 3: Cross multiply
    146.46x = 202.14 × 97.36
  4. Step 4: Simplify right side
    146.46x = 19,680.35
  5. Step 5: Solve for x
    x = 19,680.35/146.46
  6. Step 6: Final answer
    x = 134.37

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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.