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Finding the Fourth Proportional to 141.71, 195.62 and 110.70

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Solution

The fourth proportional to 141.71, 195.62 and 110.70 is: 152.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    141.71 : 195.62 = 110.70 : x
  2. Step 2: Convert to fraction form
    141.71/195.62 = 110.70/x
  3. Step 3: Cross multiply
    141.71x = 195.62 × 110.70
  4. Step 4: Simplify right side
    141.71x = 21,654.58
  5. Step 5: Solve for x
    x = 21,654.58/141.71
  6. Step 6: Final answer
    x = 152.81

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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.