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Finding the Fourth Proportional to 105.24, 158.08 and 76.44

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Solution

The fourth proportional to 105.24, 158.08 and 76.44 is: 114.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    105.24 : 158.08 = 76.44 : x
  2. Step 2: Convert to fraction form
    105.24/158.08 = 76.44/x
  3. Step 3: Cross multiply
    105.24x = 158.08 × 76.44
  4. Step 4: Simplify right side
    105.24x = 12,083.64
  5. Step 5: Solve for x
    x = 12,083.64/105.24
  6. Step 6: Final answer
    x = 114.82

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.