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Finding the Fourth Proportional to 286.54, 429.84 and 81.14

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Solution

The fourth proportional to 286.54, 429.84 and 81.14 is: 121.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    286.54 : 429.84 = 81.14 : x
  2. Step 2: Convert to fraction form
    286.54/429.84 = 81.14/x
  3. Step 3: Cross multiply
    286.54x = 429.84 × 81.14
  4. Step 4: Simplify right side
    286.54x = 34,877.22
  5. Step 5: Solve for x
    x = 34,877.22/286.54
  6. Step 6: Final answer
    x = 121.72

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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.