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Finding the Fourth Proportional to 431.94, 647.89 and 107.30

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Solution

The fourth proportional to 431.94, 647.89 and 107.30 is: 160.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    431.94 : 647.89 = 107.30 : x
  2. Step 2: Convert to fraction form
    431.94/647.89 = 107.30/x
  3. Step 3: Cross multiply
    431.94x = 647.89 × 107.30
  4. Step 4: Simplify right side
    431.94x = 69,515.36
  5. Step 5: Solve for x
    x = 69,515.36/431.94
  6. Step 6: Final answer
    x = 160.94

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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.