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Finding the Fourth Proportional to 111.60, 154.12 and 105.84

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Solution

The fourth proportional to 111.60, 154.12 and 105.84 is: 146.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    111.60 : 154.12 = 105.84 : x
  2. Step 2: Convert to fraction form
    111.60/154.12 = 105.84/x
  3. Step 3: Cross multiply
    111.60x = 154.12 × 105.84
  4. Step 4: Simplify right side
    111.60x = 16,312.06
  5. Step 5: Solve for x
    x = 16,312.06/111.60
  6. Step 6: Final answer
    x = 146.17

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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.