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Finding the Fourth Proportional to 84.53, 116.48 and 83.52

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Solution

The fourth proportional to 84.53, 116.48 and 83.52 is: 115.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    84.53 : 116.48 = 83.52 : x
  2. Step 2: Convert to fraction form
    84.53/116.48 = 83.52/x
  3. Step 3: Cross multiply
    84.53x = 116.48 × 83.52
  4. Step 4: Simplify right side
    84.53x = 9,727.99
  5. Step 5: Solve for x
    x = 9,727.99/84.53
  6. Step 6: Final answer
    x = 115.09

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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.