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Finding the Fourth Proportional to 286.61, 429.85 and 103.96

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Solution

The fourth proportional to 286.61, 429.85 and 103.96 is: 155.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    286.61 : 429.85 = 103.96 : x
  2. Step 2: Convert to fraction form
    286.61/429.85 = 103.96/x
  3. Step 3: Cross multiply
    286.61x = 429.85 × 103.96
  4. Step 4: Simplify right side
    286.61x = 44,687.21
  5. Step 5: Solve for x
    x = 44,687.21/286.61
  6. Step 6: Final answer
    x = 155.92

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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.