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Finding the Fourth Proportional to 146.42, 202.14 and 102.68

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Solution

The fourth proportional to 146.42, 202.14 and 102.68 is: 141.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    146.42 : 202.14 = 102.68 : x
  2. Step 2: Convert to fraction form
    146.42/202.14 = 102.68/x
  3. Step 3: Cross multiply
    146.42x = 202.14 × 102.68
  4. Step 4: Simplify right side
    146.42x = 20,755.22
  5. Step 5: Solve for x
    x = 20,755.22/146.42
  6. Step 6: Final answer
    x = 141.75

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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.