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Finding the Fourth Proportional to 112.13, 154.74 and 75.23

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Solution

The fourth proportional to 112.13, 154.74 and 75.23 is: 103.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    112.13 : 154.74 = 75.23 : x
  2. Step 2: Convert to fraction form
    112.13/154.74 = 75.23/x
  3. Step 3: Cross multiply
    112.13x = 154.74 × 75.23
  4. Step 4: Simplify right side
    112.13x = 11,639.94
  5. Step 5: Solve for x
    x = 11,639.94/112.13
  6. Step 6: Final answer
    x = 103.81

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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.