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Finding the Fourth Proportional to 111.36, 153.76 and 69.92

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Solution

The fourth proportional to 111.36, 153.76 and 69.92 is: 96.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    111.36 : 153.76 = 69.92 : x
  2. Step 2: Convert to fraction form
    111.36/153.76 = 69.92/x
  3. Step 3: Cross multiply
    111.36x = 153.76 × 69.92
  4. Step 4: Simplify right side
    111.36x = 10,750.90
  5. Step 5: Solve for x
    x = 10,750.90/111.36
  6. Step 6: Final answer
    x = 96.54

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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.