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Finding the Fourth Proportional to 112.10, 154.74 and 67.87

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Solution

The fourth proportional to 112.10, 154.74 and 67.87 is: 93.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    112.10 : 154.74 = 67.87 : x
  2. Step 2: Convert to fraction form
    112.10/154.74 = 67.87/x
  3. Step 3: Cross multiply
    112.10x = 154.74 × 67.87
  4. Step 4: Simplify right side
    112.10x = 10,501.09
  5. Step 5: Solve for x
    x = 10,501.09/112.10
  6. Step 6: Final answer
    x = 93.68

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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.