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Finding the Fourth Proportional to 111.29, 153.67 and 74.61

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Solution

The fourth proportional to 111.29, 153.67 and 74.61 is: 103.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    111.29 : 153.67 = 74.61 : x
  2. Step 2: Convert to fraction form
    111.29/153.67 = 74.61/x
  3. Step 3: Cross multiply
    111.29x = 153.67 × 74.61
  4. Step 4: Simplify right side
    111.29x = 11,465.91
  5. Step 5: Solve for x
    x = 11,465.91/111.29
  6. Step 6: Final answer
    x = 103.03

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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.