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Finding the Fourth Proportional to 106.64, 159.97 and 45.78

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Solution

The fourth proportional to 106.64, 159.97 and 45.78 is: 68.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    106.64 : 159.97 = 45.78 : x
  2. Step 2: Convert to fraction form
    106.64/159.97 = 45.78/x
  3. Step 3: Cross multiply
    106.64x = 159.97 × 45.78
  4. Step 4: Simplify right side
    106.64x = 7,323.31
  5. Step 5: Solve for x
    x = 7,323.31/106.64
  6. Step 6: Final answer
    x = 68.68

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.