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Finding the Fourth Proportional to 111.24, 153.61 and 74.48

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Solution

The fourth proportional to 111.24, 153.61 and 74.48 is: 102.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    111.24 : 153.61 = 74.48 : x
  2. Step 2: Convert to fraction form
    111.24/153.61 = 74.48/x
  3. Step 3: Cross multiply
    111.24x = 153.61 × 74.48
  4. Step 4: Simplify right side
    111.24x = 11,440.87
  5. Step 5: Solve for x
    x = 11,440.87/111.24
  6. Step 6: Final answer
    x = 102.85

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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.