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Finding the Fourth Proportional to 63.29, 87.21 and 45.77

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Solution

The fourth proportional to 63.29, 87.21 and 45.77 is: 63.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    63.29 : 87.21 = 45.77 : x
  2. Step 2: Convert to fraction form
    63.29/87.21 = 45.77/x
  3. Step 3: Cross multiply
    63.29x = 87.21 × 45.77
  4. Step 4: Simplify right side
    63.29x = 3,991.37
  5. Step 5: Solve for x
    x = 3,991.37/63.29
  6. Step 6: Final answer
    x = 63.07

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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.