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Finding the Fourth Proportional to 142.95, 197.26 and 77.45

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Solution

The fourth proportional to 142.95, 197.26 and 77.45 is: 106.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    142.95 : 197.26 = 77.45 : x
  2. Step 2: Convert to fraction form
    142.95/197.26 = 77.45/x
  3. Step 3: Cross multiply
    142.95x = 197.26 × 77.45
  4. Step 4: Simplify right side
    142.95x = 15,278.15
  5. Step 5: Solve for x
    x = 15,278.15/142.95
  6. Step 6: Final answer
    x = 106.88

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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.