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Finding the Fourth Proportional to 84.69, 116.85 and 74.25

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Solution

The fourth proportional to 84.69, 116.85 and 74.25 is: 102.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    84.69 : 116.85 = 74.25 : x
  2. Step 2: Convert to fraction form
    84.69/116.85 = 74.25/x
  3. Step 3: Cross multiply
    84.69x = 116.85 × 74.25
  4. Step 4: Simplify right side
    84.69x = 8,676.11
  5. Step 5: Solve for x
    x = 8,676.11/84.69
  6. Step 6: Final answer
    x = 102.45

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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.