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Finding the Fourth Proportional to 106.23, 146.57 and 69.38

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Solution

The fourth proportional to 106.23, 146.57 and 69.38 is: 95.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    106.23 : 146.57 = 69.38 : x
  2. Step 2: Convert to fraction form
    106.23/146.57 = 69.38/x
  3. Step 3: Cross multiply
    106.23x = 146.57 × 69.38
  4. Step 4: Simplify right side
    106.23x = 10,167.95
  5. Step 5: Solve for x
    x = 10,167.95/106.23
  6. Step 6: Final answer
    x = 95.72

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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.