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Finding the Fourth Proportional to 63.83, 87.80 and 55.63

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Solution

The fourth proportional to 63.83, 87.80 and 55.63 is: 76.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    63.83 : 87.80 = 55.63 : x
  2. Step 2: Convert to fraction form
    63.83/87.80 = 55.63/x
  3. Step 3: Cross multiply
    63.83x = 87.80 × 55.63
  4. Step 4: Simplify right side
    63.83x = 4,884.31
  5. Step 5: Solve for x
    x = 4,884.31/63.83
  6. Step 6: Final answer
    x = 76.52

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.