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Finding the Fourth Proportional to 111.75, 167.58 and 53.93

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Solution

The fourth proportional to 111.75, 167.58 and 53.93 is: 80.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    111.75 : 167.58 = 53.93 : x
  2. Step 2: Convert to fraction form
    111.75/167.58 = 53.93/x
  3. Step 3: Cross multiply
    111.75x = 167.58 × 53.93
  4. Step 4: Simplify right side
    111.75x = 9,036.75
  5. Step 5: Solve for x
    x = 9,036.75/111.75
  6. Step 6: Final answer
    x = 80.87

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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.