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Finding the Fourth Proportional to 111.30, 153.42 and 92.82

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Solution

The fourth proportional to 111.30, 153.42 and 92.82 is: 127.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    111.30 : 153.42 = 92.82 : x
  2. Step 2: Convert to fraction form
    111.30/153.42 = 92.82/x
  3. Step 3: Cross multiply
    111.30x = 153.42 × 92.82
  4. Step 4: Simplify right side
    111.30x = 14,240.44
  5. Step 5: Solve for x
    x = 14,240.44/111.30
  6. Step 6: Final answer
    x = 127.95

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.