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Finding the Fourth Proportional to 286.37, 429.61 and 91.37

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Solution

The fourth proportional to 286.37, 429.61 and 91.37 is: 137.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    286.37 : 429.61 = 91.37 : x
  2. Step 2: Convert to fraction form
    286.37/429.61 = 91.37/x
  3. Step 3: Cross multiply
    286.37x = 429.61 × 91.37
  4. Step 4: Simplify right side
    286.37x = 39,251.09
  5. Step 5: Solve for x
    x = 39,251.09/286.37
  6. Step 6: Final answer
    x = 137.06

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.