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Finding the Fourth Proportional to 105.65, 145.69 and 68.80

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Solution

The fourth proportional to 105.65, 145.69 and 68.80 is: 94.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    105.65 : 145.69 = 68.80 : x
  2. Step 2: Convert to fraction form
    105.65/145.69 = 68.80/x
  3. Step 3: Cross multiply
    105.65x = 145.69 × 68.80
  4. Step 4: Simplify right side
    105.65x = 10,023.47
  5. Step 5: Solve for x
    x = 10,023.47/105.65
  6. Step 6: Final answer
    x = 94.88

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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.