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Finding the Fourth Proportional to 141.03, 194.57 and 89.25

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Solution

The fourth proportional to 141.03, 194.57 and 89.25 is: 123.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    141.03 : 194.57 = 89.25 : x
  2. Step 2: Convert to fraction form
    141.03/194.57 = 89.25/x
  3. Step 3: Cross multiply
    141.03x = 194.57 × 89.25
  4. Step 4: Simplify right side
    141.03x = 17,364.93
  5. Step 5: Solve for x
    x = 17,364.93/141.03
  6. Step 6: Final answer
    x = 123.13

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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.