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Finding the Fourth Proportional to 146.34, 202.05 and 101.56

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Solution

The fourth proportional to 146.34, 202.05 and 101.56 is: 140.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    146.34 : 202.05 = 101.56 : x
  2. Step 2: Convert to fraction form
    146.34/202.05 = 101.56/x
  3. Step 3: Cross multiply
    146.34x = 202.05 × 101.56
  4. Step 4: Simplify right side
    146.34x = 20,519.69
  5. Step 5: Solve for x
    x = 20,519.69/146.34
  6. Step 6: Final answer
    x = 140.22

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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.