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Finding the Fourth Proportional to 105.74, 145.92 and 59.12

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Solution

The fourth proportional to 105.74, 145.92 and 59.12 is: 81.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    105.74 : 145.92 = 59.12 : x
  2. Step 2: Convert to fraction form
    105.74/145.92 = 59.12/x
  3. Step 3: Cross multiply
    105.74x = 145.92 × 59.12
  4. Step 4: Simplify right side
    105.74x = 8,626.83
  5. Step 5: Solve for x
    x = 8,626.83/105.74
  6. Step 6: Final answer
    x = 81.59

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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.