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Finding the Fourth Proportional to 432.65, 648.97 and 108.02

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Solution

The fourth proportional to 432.65, 648.97 and 108.02 is: 162.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    432.65 : 648.97 = 108.02 : x
  2. Step 2: Convert to fraction form
    432.65/648.97 = 108.02/x
  3. Step 3: Cross multiply
    432.65x = 648.97 × 108.02
  4. Step 4: Simplify right side
    432.65x = 70,101.74
  5. Step 5: Solve for x
    x = 70,101.74/432.65
  6. Step 6: Final answer
    x = 162.03

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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.