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Finding the Fourth Proportional to 105.87, 146.10 and 59.24

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Solution

The fourth proportional to 105.87, 146.10 and 59.24 is: 81.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    105.87 : 146.10 = 59.24 : x
  2. Step 2: Convert to fraction form
    105.87/146.10 = 59.24/x
  3. Step 3: Cross multiply
    105.87x = 146.10 × 59.24
  4. Step 4: Simplify right side
    105.87x = 8,655.38
  5. Step 5: Solve for x
    x = 8,655.38/105.87
  6. Step 6: Final answer
    x = 81.76

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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.