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Finding the Fourth Proportional to 146.52, 202.05 and 101.70

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Solution

The fourth proportional to 146.52, 202.05 and 101.70 is: 140.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    146.52 : 202.05 = 101.70 : x
  2. Step 2: Convert to fraction form
    146.52/202.05 = 101.70/x
  3. Step 3: Cross multiply
    146.52x = 202.05 × 101.70
  4. Step 4: Simplify right side
    146.52x = 20,548.49
  5. Step 5: Solve for x
    x = 20,548.49/146.52
  6. Step 6: Final answer
    x = 140.24

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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.