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Finding the Fourth Proportional to 286.37, 429.51 and 80.91

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Solution

The fourth proportional to 286.37, 429.51 and 80.91 is: 121.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    286.37 : 429.51 = 80.91 : x
  2. Step 2: Convert to fraction form
    286.37/429.51 = 80.91/x
  3. Step 3: Cross multiply
    286.37x = 429.51 × 80.91
  4. Step 4: Simplify right side
    286.37x = 34,751.65
  5. Step 5: Solve for x
    x = 34,751.65/286.37
  6. Step 6: Final answer
    x = 121.35

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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.