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Finding the Fourth Proportional to 111.39, 167.12 and 53.58

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Solution

The fourth proportional to 111.39, 167.12 and 53.58 is: 80.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    111.39 : 167.12 = 53.58 : x
  2. Step 2: Convert to fraction form
    111.39/167.12 = 53.58/x
  3. Step 3: Cross multiply
    111.39x = 167.12 × 53.58
  4. Step 4: Simplify right side
    111.39x = 8,955.05
  5. Step 5: Solve for x
    x = 8,955.05/111.39
  6. Step 6: Final answer
    x = 80.39

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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.