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Finding the Fourth Proportional to 432.91, 649.27 and 124.68

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Solution

The fourth proportional to 432.91, 649.27 and 124.68 is: 186.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    432.91 : 649.27 = 124.68 : x
  2. Step 2: Convert to fraction form
    432.91/649.27 = 124.68/x
  3. Step 3: Cross multiply
    432.91x = 649.27 × 124.68
  4. Step 4: Simplify right side
    432.91x = 80,950.98
  5. Step 5: Solve for x
    x = 80,950.98/432.91
  6. Step 6: Final answer
    x = 186.99

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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.