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Finding the Fourth Proportional to 142.98, 197.34 and 101.60

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Solution

The fourth proportional to 142.98, 197.34 and 101.60 is: 140.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    142.98 : 197.34 = 101.60 : x
  2. Step 2: Convert to fraction form
    142.98/197.34 = 101.60/x
  3. Step 3: Cross multiply
    142.98x = 197.34 × 101.60
  4. Step 4: Simplify right side
    142.98x = 20,049.74
  5. Step 5: Solve for x
    x = 20,049.74/142.98
  6. Step 6: Final answer
    x = 140.23

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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.