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Finding the Fourth Proportional to 140.19, 193.41 and 87.72

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Solution

The fourth proportional to 140.19, 193.41 and 87.72 is: 121.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    140.19 : 193.41 = 87.72 : x
  2. Step 2: Convert to fraction form
    140.19/193.41 = 87.72/x
  3. Step 3: Cross multiply
    140.19x = 193.41 × 87.72
  4. Step 4: Simplify right side
    140.19x = 16,965.53
  5. Step 5: Solve for x
    x = 16,965.53/140.19
  6. Step 6: Final answer
    x = 121.01

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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.