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Finding the Fourth Proportional to 141.18, 194.41 and 101.77

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Solution

The fourth proportional to 141.18, 194.41 and 101.77 is: 140.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    141.18 : 194.41 = 101.77 : x
  2. Step 2: Convert to fraction form
    141.18/194.41 = 101.77/x
  3. Step 3: Cross multiply
    141.18x = 194.41 × 101.77
  4. Step 4: Simplify right side
    141.18x = 19,783.62
  5. Step 5: Solve for x
    x = 19,783.62/141.18
  6. Step 6: Final answer
    x = 140.13

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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.