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Finding the Fourth Proportional to 101.68, 141.26 and 100.74

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Solution

The fourth proportional to 101.68, 141.26 and 100.74 is: 139.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    101.68 : 141.26 = 100.74 : x
  2. Step 2: Convert to fraction form
    101.68/141.26 = 100.74/x
  3. Step 3: Cross multiply
    101.68x = 141.26 × 100.74
  4. Step 4: Simplify right side
    101.68x = 14,230.08
  5. Step 5: Solve for x
    x = 14,230.08/101.68
  6. Step 6: Final answer
    x = 139.95

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These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.