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Finding the Fourth Proportional to 112.09, 154.65 and 75.19

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Solution

The fourth proportional to 112.09, 154.65 and 75.19 is: 103.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    112.09 : 154.65 = 75.19 : x
  2. Step 2: Convert to fraction form
    112.09/154.65 = 75.19/x
  3. Step 3: Cross multiply
    112.09x = 154.65 × 75.19
  4. Step 4: Simplify right side
    112.09x = 11,628.13
  5. Step 5: Solve for x
    x = 11,628.13/112.09
  6. Step 6: Final answer
    x = 103.74

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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.