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Finding the Fourth Proportional to 102.29, 141.36 and 91.49

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Solution

The fourth proportional to 102.29, 141.36 and 91.49 is: 126.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    102.29 : 141.36 = 91.49 : x
  2. Step 2: Convert to fraction form
    102.29/141.36 = 91.49/x
  3. Step 3: Cross multiply
    102.29x = 141.36 × 91.49
  4. Step 4: Simplify right side
    102.29x = 12,933.03
  5. Step 5: Solve for x
    x = 12,933.03/102.29
  6. Step 6: Final answer
    x = 126.43

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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.