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Finding the Fourth Proportional to 106.64, 147.22 and 69.78

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Solution

The fourth proportional to 106.64, 147.22 and 69.78 is: 96.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    106.64 : 147.22 = 69.78 : x
  2. Step 2: Convert to fraction form
    106.64/147.22 = 69.78/x
  3. Step 3: Cross multiply
    106.64x = 147.22 × 69.78
  4. Step 4: Simplify right side
    106.64x = 10,273.01
  5. Step 5: Solve for x
    x = 10,273.01/106.64
  6. Step 6: Final answer
    x = 96.33

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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.