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Finding the Fourth Proportional to 95.63, 131.83 and 68.06

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Solution

The fourth proportional to 95.63, 131.83 and 68.06 is: 93.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    95.63 : 131.83 = 68.06 : x
  2. Step 2: Convert to fraction form
    95.63/131.83 = 68.06/x
  3. Step 3: Cross multiply
    95.63x = 131.83 × 68.06
  4. Step 4: Simplify right side
    95.63x = 8,972.51
  5. Step 5: Solve for x
    x = 8,972.51/95.63
  6. Step 6: Final answer
    x = 93.83

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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.