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Finding the Fourth Proportional to 106.07, 146.33 and 69.21

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Solution

The fourth proportional to 106.07, 146.33 and 69.21 is: 95.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    106.07 : 146.33 = 69.21 : x
  2. Step 2: Convert to fraction form
    106.07/146.33 = 69.21/x
  3. Step 3: Cross multiply
    106.07x = 146.33 × 69.21
  4. Step 4: Simplify right side
    106.07x = 10,127.15
  5. Step 5: Solve for x
    x = 10,127.15/106.07
  6. Step 6: Final answer
    x = 95.48

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.