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Finding the Fourth Proportional to 106.49, 159.51 and 72.25

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Solution

The fourth proportional to 106.49, 159.51 and 72.25 is: 108.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    106.49 : 159.51 = 72.25 : x
  2. Step 2: Convert to fraction form
    106.49/159.51 = 72.25/x
  3. Step 3: Cross multiply
    106.49x = 159.51 × 72.25
  4. Step 4: Simplify right side
    106.49x = 11,524.60
  5. Step 5: Solve for x
    x = 11,524.60/106.49
  6. Step 6: Final answer
    x = 108.22

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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.