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Finding the Fourth Proportional to 84.74, 116.96 and 55.27

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Solution

The fourth proportional to 84.74, 116.96 and 55.27 is: 76.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    84.74 : 116.96 = 55.27 : x
  2. Step 2: Convert to fraction form
    84.74/116.96 = 55.27/x
  3. Step 3: Cross multiply
    84.74x = 116.96 × 55.27
  4. Step 4: Simplify right side
    84.74x = 6,463.81
  5. Step 5: Solve for x
    x = 6,463.81/84.74
  6. Step 6: Final answer
    x = 76.28

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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.