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Finding the Fourth Proportional to 106.45, 146.82 and 69.63

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Solution

The fourth proportional to 106.45, 146.82 and 69.63 is: 96.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    106.45 : 146.82 = 69.63 : x
  2. Step 2: Convert to fraction form
    106.45/146.82 = 69.63/x
  3. Step 3: Cross multiply
    106.45x = 146.82 × 69.63
  4. Step 4: Simplify right side
    106.45x = 10,223.08
  5. Step 5: Solve for x
    x = 10,223.08/106.45
  6. Step 6: Final answer
    x = 96.04

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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.