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Finding the Fourth Proportional to 100.68, 139.06 and 77.22

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Solution

The fourth proportional to 100.68, 139.06 and 77.22 is: 106.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    100.68 : 139.06 = 77.22 : x
  2. Step 2: Convert to fraction form
    100.68/139.06 = 77.22/x
  3. Step 3: Cross multiply
    100.68x = 139.06 × 77.22
  4. Step 4: Simplify right side
    100.68x = 10,738.21
  5. Step 5: Solve for x
    x = 10,738.21/100.68
  6. Step 6: Final answer
    x = 106.66

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.