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Finding the Fourth Proportional to 68.83, 94.90 and 57.89

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Solution

The fourth proportional to 68.83, 94.90 and 57.89 is: 79.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    68.83 : 94.90 = 57.89 : x
  2. Step 2: Convert to fraction form
    68.83/94.90 = 57.89/x
  3. Step 3: Cross multiply
    68.83x = 94.90 × 57.89
  4. Step 4: Simplify right side
    68.83x = 5,493.76
  5. Step 5: Solve for x
    x = 5,493.76/68.83
  6. Step 6: Final answer
    x = 79.82

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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.