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Finding the Fourth Proportional to 84.40, 116.34 and 63.64

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Solution

The fourth proportional to 84.40, 116.34 and 63.64 is: 87.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    84.40 : 116.34 = 63.64 : x
  2. Step 2: Convert to fraction form
    84.40/116.34 = 63.64/x
  3. Step 3: Cross multiply
    84.40x = 116.34 × 63.64
  4. Step 4: Simplify right side
    84.40x = 7,403.88
  5. Step 5: Solve for x
    x = 7,403.88/84.40
  6. Step 6: Final answer
    x = 87.72

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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.