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Finding the Fourth Proportional to 106.80, 160.87 and 97.23

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Solution

The fourth proportional to 106.80, 160.87 and 97.23 is: 146.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    106.80 : 160.87 = 97.23 : x
  2. Step 2: Convert to fraction form
    106.80/160.87 = 97.23/x
  3. Step 3: Cross multiply
    106.80x = 160.87 × 97.23
  4. Step 4: Simplify right side
    106.80x = 15,641.39
  5. Step 5: Solve for x
    x = 15,641.39/106.80
  6. Step 6: Final answer
    x = 146.45

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.