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Finding the Fourth Proportional to 111.70, 167.74 and 106.90

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Solution

The fourth proportional to 111.70, 167.74 and 106.90 is: 160.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    111.70 : 167.74 = 106.90 : x
  2. Step 2: Convert to fraction form
    111.70/167.74 = 106.90/x
  3. Step 3: Cross multiply
    111.70x = 167.74 × 106.90
  4. Step 4: Simplify right side
    111.70x = 17,931.41
  5. Step 5: Solve for x
    x = 17,931.41/111.70
  6. Step 6: Final answer
    x = 160.53

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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.