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Finding the Fourth Proportional to 432.66, 648.97 and 108.01

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Solution

The fourth proportional to 432.66, 648.97 and 108.01 is: 162.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    432.66 : 648.97 = 108.01 : x
  2. Step 2: Convert to fraction form
    432.66/648.97 = 108.01/x
  3. Step 3: Cross multiply
    432.66x = 648.97 × 108.01
  4. Step 4: Simplify right side
    432.66x = 70,095.25
  5. Step 5: Solve for x
    x = 70,095.25/432.66
  6. Step 6: Final answer
    x = 162.01

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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.