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Finding the Fourth Proportional to 111, 153.14 and 67.31

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Solution

The fourth proportional to 111, 153.14 and 67.31 is: 92.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    111 : 153.14 = 67.31 : x
  2. Step 2: Convert to fraction form
    111/153.14 = 67.31/x
  3. Step 3: Cross multiply
    111x = 153.14 × 67.31
  4. Step 4: Simplify right side
    111x = 10,307.90
  5. Step 5: Solve for x
    x = 10,307.90/111
  6. Step 6: Final answer
    x = 92.86

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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.