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Finding the Fourth Proportional to 105.16, 144.89 and 76

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Solution

The fourth proportional to 105.16, 144.89 and 76 is: 104.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    105.16 : 144.89 = 76 : x
  2. Step 2: Convert to fraction form
    105.16/144.89 = 76/x
  3. Step 3: Cross multiply
    105.16x = 144.89 × 76
  4. Step 4: Simplify right side
    105.16x = 11,011.64
  5. Step 5: Solve for x
    x = 11,011.64/105.16
  6. Step 6: Final answer
    x = 104.71

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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.