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Finding the Fourth Proportional to 111.27, 153.65 and 74.42

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Solution

The fourth proportional to 111.27, 153.65 and 74.42 is: 102.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    111.27 : 153.65 = 74.42 : x
  2. Step 2: Convert to fraction form
    111.27/153.65 = 74.42/x
  3. Step 3: Cross multiply
    111.27x = 153.65 × 74.42
  4. Step 4: Simplify right side
    111.27x = 11,434.63
  5. Step 5: Solve for x
    x = 11,434.63/111.27
  6. Step 6: Final answer
    x = 102.76

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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.