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Finding the Fourth Proportional to 68.85, 94.96 and 59.63

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Solution

The fourth proportional to 68.85, 94.96 and 59.63 is: 82.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    68.85 : 94.96 = 59.63 : x
  2. Step 2: Convert to fraction form
    68.85/94.96 = 59.63/x
  3. Step 3: Cross multiply
    68.85x = 94.96 × 59.63
  4. Step 4: Simplify right side
    68.85x = 5,662.23
  5. Step 5: Solve for x
    x = 5,662.23/68.85
  6. Step 6: Final answer
    x = 82.24

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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.