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Finding the Fourth Proportional to 84.67, 116.04 and 84.53

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Solution

The fourth proportional to 84.67, 116.04 and 84.53 is: 115.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    84.67 : 116.04 = 84.53 : x
  2. Step 2: Convert to fraction form
    84.67/116.04 = 84.53/x
  3. Step 3: Cross multiply
    84.67x = 116.04 × 84.53
  4. Step 4: Simplify right side
    84.67x = 9,808.86
  5. Step 5: Solve for x
    x = 9,808.86/84.67
  6. Step 6: Final answer
    x = 115.85

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.