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Finding the Fourth Proportional to 96.55, 133.49 and 84.40

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Solution

The fourth proportional to 96.55, 133.49 and 84.40 is: 116.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    96.55 : 133.49 = 84.40 : x
  2. Step 2: Convert to fraction form
    96.55/133.49 = 84.40/x
  3. Step 3: Cross multiply
    96.55x = 133.49 × 84.40
  4. Step 4: Simplify right side
    96.55x = 11,266.43
  5. Step 5: Solve for x
    x = 11,266.43/96.55
  6. Step 6: Final answer
    x = 116.69

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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.