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Finding the Fourth Proportional to 105.59, 145.73 and 77.92

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Solution

The fourth proportional to 105.59, 145.73 and 77.92 is: 107.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    105.59 : 145.73 = 77.92 : x
  2. Step 2: Convert to fraction form
    105.59/145.73 = 77.92/x
  3. Step 3: Cross multiply
    105.59x = 145.73 × 77.92
  4. Step 4: Simplify right side
    105.59x = 11,355.11
  5. Step 5: Solve for x
    x = 11,355.11/105.59
  6. Step 6: Final answer
    x = 107.54

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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.