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Finding the Fourth Proportional to 84.96, 127.62 and 52.54

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Solution

The fourth proportional to 84.96, 127.62 and 52.54 is: 78.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    84.96 : 127.62 = 52.54 : x
  2. Step 2: Convert to fraction form
    84.96/127.62 = 52.54/x
  3. Step 3: Cross multiply
    84.96x = 127.62 × 52.54
  4. Step 4: Simplify right side
    84.96x = 6,705.15
  5. Step 5: Solve for x
    x = 6,705.15/84.96
  6. Step 6: Final answer
    x = 78.92

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.