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Finding the Fourth Proportional to 64.91, 89.04 and 63.83

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Solution

The fourth proportional to 64.91, 89.04 and 63.83 is: 87.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    64.91 : 89.04 = 63.83 : x
  2. Step 2: Convert to fraction form
    64.91/89.04 = 63.83/x
  3. Step 3: Cross multiply
    64.91x = 89.04 × 63.83
  4. Step 4: Simplify right side
    64.91x = 5,682.98
  5. Step 5: Solve for x
    x = 5,682.98/64.91
  6. Step 6: Final answer
    x = 87.56

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.