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Finding the Fourth Proportional to 84.72, 117.04 and 74.38

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Solution

The fourth proportional to 84.72, 117.04 and 74.38 is: 102.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    84.72 : 117.04 = 74.38 : x
  2. Step 2: Convert to fraction form
    84.72/117.04 = 74.38/x
  3. Step 3: Cross multiply
    84.72x = 117.04 × 74.38
  4. Step 4: Simplify right side
    84.72x = 8,705.44
  5. Step 5: Solve for x
    x = 8,705.44/84.72
  6. Step 6: Final answer
    x = 102.76

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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.