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Finding the Fourth Proportional to 286.42, 429.58 and 80.99

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Solution

The fourth proportional to 286.42, 429.58 and 80.99 is: 121.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    286.42 : 429.58 = 80.99 : x
  2. Step 2: Convert to fraction form
    286.42/429.58 = 80.99/x
  3. Step 3: Cross multiply
    286.42x = 429.58 × 80.99
  4. Step 4: Simplify right side
    286.42x = 34,789.18
  5. Step 5: Solve for x
    x = 34,789.18/286.42
  6. Step 6: Final answer
    x = 121.46

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Why These Related Problems?

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