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Finding the Fourth Proportional to 63.16, 86.94 and 53.80

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Solution

The fourth proportional to 63.16, 86.94 and 53.80 is: 74.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    63.16 : 86.94 = 53.80 : x
  2. Step 2: Convert to fraction form
    63.16/86.94 = 53.80/x
  3. Step 3: Cross multiply
    63.16x = 86.94 × 53.80
  4. Step 4: Simplify right side
    63.16x = 4,677.37
  5. Step 5: Solve for x
    x = 4,677.37/63.16
  6. Step 6: Final answer
    x = 74.06

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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.