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Finding the Fourth Proportional to 112.30, 154.68 and 106.81

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Solution

The fourth proportional to 112.30, 154.68 and 106.81 is: 147.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    112.30 : 154.68 = 106.81 : x
  2. Step 2: Convert to fraction form
    112.30/154.68 = 106.81/x
  3. Step 3: Cross multiply
    112.30x = 154.68 × 106.81
  4. Step 4: Simplify right side
    112.30x = 16,521.37
  5. Step 5: Solve for x
    x = 16,521.37/112.30
  6. Step 6: Final answer
    x = 147.12

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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.