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Finding the Fourth Proportional to 63.64, 87.78 and 41.77

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Solution

The fourth proportional to 63.64, 87.78 and 41.77 is: 57.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    63.64 : 87.78 = 41.77 : x
  2. Step 2: Convert to fraction form
    63.64/87.78 = 41.77/x
  3. Step 3: Cross multiply
    63.64x = 87.78 × 41.77
  4. Step 4: Simplify right side
    63.64x = 3,666.34
  5. Step 5: Solve for x
    x = 3,666.34/63.64
  6. Step 6: Final answer
    x = 57.61

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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.