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Finding the Fourth Proportional to 68.22, 94.16 and 51.82

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Solution

The fourth proportional to 68.22, 94.16 and 51.82 is: 71.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    68.22 : 94.16 = 51.82 : x
  2. Step 2: Convert to fraction form
    68.22/94.16 = 51.82/x
  3. Step 3: Cross multiply
    68.22x = 94.16 × 51.82
  4. Step 4: Simplify right side
    68.22x = 4,878.64
  5. Step 5: Solve for x
    x = 4,878.64/68.22
  6. Step 6: Final answer
    x = 71.51

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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.