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Finding the Fourth Proportional to 95.77, 143.41 and 68.65

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Solution

The fourth proportional to 95.77, 143.41 and 68.65 is: 102.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    95.77 : 143.41 = 68.65 : x
  2. Step 2: Convert to fraction form
    95.77/143.41 = 68.65/x
  3. Step 3: Cross multiply
    95.77x = 143.41 × 68.65
  4. Step 4: Simplify right side
    95.77x = 9,845.10
  5. Step 5: Solve for x
    x = 9,845.10/95.77
  6. Step 6: Final answer
    x = 102.80

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.