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Finding the Fourth Proportional to 432.61, 648.92 and 107.98

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Solution

The fourth proportional to 432.61, 648.92 and 107.98 is: 161.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    432.61 : 648.92 = 107.98 : x
  2. Step 2: Convert to fraction form
    432.61/648.92 = 107.98/x
  3. Step 3: Cross multiply
    432.61x = 648.92 × 107.98
  4. Step 4: Simplify right side
    432.61x = 70,070.38
  5. Step 5: Solve for x
    x = 70,070.38/432.61
  6. Step 6: Final answer
    x = 161.97

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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.