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Finding the Fourth Proportional to 141.53, 195.27 and 89.07

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Solution

The fourth proportional to 141.53, 195.27 and 89.07 is: 122.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    141.53 : 195.27 = 89.07 : x
  2. Step 2: Convert to fraction form
    141.53/195.27 = 89.07/x
  3. Step 3: Cross multiply
    141.53x = 195.27 × 89.07
  4. Step 4: Simplify right side
    141.53x = 17,392.70
  5. Step 5: Solve for x
    x = 17,392.70/141.53
  6. Step 6: Final answer
    x = 122.89

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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.