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Finding the Fourth Proportional to 435.50, 653.24 and 110.86

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Solution

The fourth proportional to 435.50, 653.24 and 110.86 is: 166.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    435.50 : 653.24 = 110.86 : x
  2. Step 2: Convert to fraction form
    435.50/653.24 = 110.86/x
  3. Step 3: Cross multiply
    435.50x = 653.24 × 110.86
  4. Step 4: Simplify right side
    435.50x = 72,418.45
  5. Step 5: Solve for x
    x = 72,418.45/435.50
  6. Step 6: Final answer
    x = 166.29

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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.