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Finding the Fourth Proportional to 142.90, 197.16 and 101.56

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Solution

The fourth proportional to 142.90, 197.16 and 101.56 is: 140.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    142.90 : 197.16 = 101.56 : x
  2. Step 2: Convert to fraction form
    142.90/197.16 = 101.56/x
  3. Step 3: Cross multiply
    142.90x = 197.16 × 101.56
  4. Step 4: Simplify right side
    142.90x = 20,023.57
  5. Step 5: Solve for x
    x = 20,023.57/142.90
  6. Step 6: Final answer
    x = 140.12

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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.