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Finding the Fourth Proportional to 142.76, 197.01 and 77.26

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Solution

The fourth proportional to 142.76, 197.01 and 77.26 is: 106.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    142.76 : 197.01 = 77.26 : x
  2. Step 2: Convert to fraction form
    142.76/197.01 = 77.26/x
  3. Step 3: Cross multiply
    142.76x = 197.01 × 77.26
  4. Step 4: Simplify right side
    142.76x = 15,220.95
  5. Step 5: Solve for x
    x = 15,220.95/142.76
  6. Step 6: Final answer
    x = 106.62

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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.