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Finding the Fourth Proportional to 63.60, 87.77 and 34.49

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Solution

The fourth proportional to 63.60, 87.77 and 34.49 is: 47.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    63.60 : 87.77 = 34.49 : x
  2. Step 2: Convert to fraction form
    63.60/87.77 = 34.49/x
  3. Step 3: Cross multiply
    63.60x = 87.77 × 34.49
  4. Step 4: Simplify right side
    63.60x = 3,027.10
  5. Step 5: Solve for x
    x = 3,027.10/63.60
  6. Step 6: Final answer
    x = 47.60

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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.