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Finding the Fourth Proportional to 105.25, 145.52 and 77.97

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Solution

The fourth proportional to 105.25, 145.52 and 77.97 is: 107.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    105.25 : 145.52 = 77.97 : x
  2. Step 2: Convert to fraction form
    105.25/145.52 = 77.97/x
  3. Step 3: Cross multiply
    105.25x = 145.52 × 77.97
  4. Step 4: Simplify right side
    105.25x = 11,345.65
  5. Step 5: Solve for x
    x = 11,345.65/105.25
  6. Step 6: Final answer
    x = 107.80

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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.