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Finding the Fourth Proportional to 63.63, 87.66 and 49.05

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Solution

The fourth proportional to 63.63, 87.66 and 49.05 is: 67.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    63.63 : 87.66 = 49.05 : x
  2. Step 2: Convert to fraction form
    63.63/87.66 = 49.05/x
  3. Step 3: Cross multiply
    63.63x = 87.66 × 49.05
  4. Step 4: Simplify right side
    63.63x = 4,299.72
  5. Step 5: Solve for x
    x = 4,299.72/63.63
  6. Step 6: Final answer
    x = 67.57

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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.