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Finding the Fourth Proportional to 63.81, 87.83 and 55.10

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Solution

The fourth proportional to 63.81, 87.83 and 55.10 is: 75.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    63.81 : 87.83 = 55.10 : x
  2. Step 2: Convert to fraction form
    63.81/87.83 = 55.10/x
  3. Step 3: Cross multiply
    63.81x = 87.83 × 55.10
  4. Step 4: Simplify right side
    63.81x = 4,838.99
  5. Step 5: Solve for x
    x = 4,838.99/63.81
  6. Step 6: Final answer
    x = 75.84

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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.