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Finding the Fourth Proportional to 84.63, 116.80 and 53.54

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Solution

The fourth proportional to 84.63, 116.80 and 53.54 is: 73.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    84.63 : 116.80 = 53.54 : x
  2. Step 2: Convert to fraction form
    84.63/116.80 = 53.54/x
  3. Step 3: Cross multiply
    84.63x = 116.80 × 53.54
  4. Step 4: Simplify right side
    84.63x = 6,252.90
  5. Step 5: Solve for x
    x = 6,252.90/84.63
  6. Step 6: Final answer
    x = 73.88

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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.