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Finding the Fourth Proportional to 68.51, 102.77 and 31.91

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Solution

The fourth proportional to 68.51, 102.77 and 31.91 is: 47.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    68.51 : 102.77 = 31.91 : x
  2. Step 2: Convert to fraction form
    68.51/102.77 = 31.91/x
  3. Step 3: Cross multiply
    68.51x = 102.77 × 31.91
  4. Step 4: Simplify right side
    68.51x = 3,279.39
  5. Step 5: Solve for x
    x = 3,279.39/68.51
  6. Step 6: Final answer
    x = 47.87

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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.