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Finding the Fourth Proportional to 63.64, 94.89 and 59.56

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Solution

The fourth proportional to 63.64, 94.89 and 59.56 is: 88.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    63.64 : 94.89 = 59.56 : x
  2. Step 2: Convert to fraction form
    63.64/94.89 = 59.56/x
  3. Step 3: Cross multiply
    63.64x = 94.89 × 59.56
  4. Step 4: Simplify right side
    63.64x = 5,651.65
  5. Step 5: Solve for x
    x = 5,651.65/63.64
  6. Step 6: Final answer
    x = 88.81

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.