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Finding the Fourth Proportional to 135.14, 186.45 and 91.46

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Solution

The fourth proportional to 135.14, 186.45 and 91.46 is: 126.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    135.14 : 186.45 = 91.46 : x
  2. Step 2: Convert to fraction form
    135.14/186.45 = 91.46/x
  3. Step 3: Cross multiply
    135.14x = 186.45 × 91.46
  4. Step 4: Simplify right side
    135.14x = 17,052.72
  5. Step 5: Solve for x
    x = 17,052.72/135.14
  6. Step 6: Final answer
    x = 126.19

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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.