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Finding the Fourth Proportional to 106.66, 160 and 34.56

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Solution

The fourth proportional to 106.66, 160 and 34.56 is: 51.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    106.66 : 160 = 34.56 : x
  2. Step 2: Convert to fraction form
    106.66/160 = 34.56/x
  3. Step 3: Cross multiply
    106.66x = 160 × 34.56
  4. Step 4: Simplify right side
    106.66x = 5,529.60
  5. Step 5: Solve for x
    x = 5,529.60/106.66
  6. Step 6: Final answer
    x = 51.84

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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.