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Finding the Fourth Proportional to 111.52, 167.40 and 84.76

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Solution

The fourth proportional to 111.52, 167.40 and 84.76 is: 127.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    111.52 : 167.40 = 84.76 : x
  2. Step 2: Convert to fraction form
    111.52/167.40 = 84.76/x
  3. Step 3: Cross multiply
    111.52x = 167.40 × 84.76
  4. Step 4: Simplify right side
    111.52x = 14,188.82
  5. Step 5: Solve for x
    x = 14,188.82/111.52
  6. Step 6: Final answer
    x = 127.23

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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.