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Finding the Fourth Proportional to 146.97, 202.68 and 88.71

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Solution

The fourth proportional to 146.97, 202.68 and 88.71 is: 122.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    146.97 : 202.68 = 88.71 : x
  2. Step 2: Convert to fraction form
    146.97/202.68 = 88.71/x
  3. Step 3: Cross multiply
    146.97x = 202.68 × 88.71
  4. Step 4: Simplify right side
    146.97x = 17,979.74
  5. Step 5: Solve for x
    x = 17,979.74/146.97
  6. Step 6: Final answer
    x = 122.34

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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.