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Finding the Fourth Proportional to 146.68, 202.37 and 102.94

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Solution

The fourth proportional to 146.68, 202.37 and 102.94 is: 142.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    146.68 : 202.37 = 102.94 : x
  2. Step 2: Convert to fraction form
    146.68/202.37 = 102.94/x
  3. Step 3: Cross multiply
    146.68x = 202.37 × 102.94
  4. Step 4: Simplify right side
    146.68x = 20,830.95
  5. Step 5: Solve for x
    x = 20,830.95/146.68
  6. Step 6: Final answer
    x = 142.02

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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.