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Finding the Fourth Proportional to 84.89, 117.04 and 74.63

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Solution

The fourth proportional to 84.89, 117.04 and 74.63 is: 102.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    84.89 : 117.04 = 74.63 : x
  2. Step 2: Convert to fraction form
    84.89/117.04 = 74.63/x
  3. Step 3: Cross multiply
    84.89x = 117.04 × 74.63
  4. Step 4: Simplify right side
    84.89x = 8,734.70
  5. Step 5: Solve for x
    x = 8,734.70/84.89
  6. Step 6: Final answer
    x = 102.89

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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.