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Finding the Fourth Proportional to 146.57, 202.14 and 91.20

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Solution

The fourth proportional to 146.57, 202.14 and 91.20 is: 125.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    146.57 : 202.14 = 91.20 : x
  2. Step 2: Convert to fraction form
    146.57/202.14 = 91.20/x
  3. Step 3: Cross multiply
    146.57x = 202.14 × 91.20
  4. Step 4: Simplify right side
    146.57x = 18,434.41
  5. Step 5: Solve for x
    x = 18,434.41/146.57
  6. Step 6: Final answer
    x = 125.78

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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.