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Finding the Fourth Proportional to 111.50, 167.05 and 101.93

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Solution

The fourth proportional to 111.50, 167.05 and 101.93 is: 152.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    111.50 : 167.05 = 101.93 : x
  2. Step 2: Convert to fraction form
    111.50/167.05 = 101.93/x
  3. Step 3: Cross multiply
    111.50x = 167.05 × 101.93
  4. Step 4: Simplify right side
    111.50x = 17,027.41
  5. Step 5: Solve for x
    x = 17,027.41/111.50
  6. Step 6: Final answer
    x = 152.71

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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.