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Finding the Fourth Proportional to 146.60, 202.17 and 111.63

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Solution

The fourth proportional to 146.60, 202.17 and 111.63 is: 153.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    146.60 : 202.17 = 111.63 : x
  2. Step 2: Convert to fraction form
    146.60/202.17 = 111.63/x
  3. Step 3: Cross multiply
    146.60x = 202.17 × 111.63
  4. Step 4: Simplify right side
    146.60x = 22,568.24
  5. Step 5: Solve for x
    x = 22,568.24/146.60
  6. Step 6: Final answer
    x = 153.94

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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.