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Finding the Fourth Proportional to 70.54, 97.27 and 52.09

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Solution

The fourth proportional to 70.54, 97.27 and 52.09 is: 71.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    70.54 : 97.27 = 52.09 : x
  2. Step 2: Convert to fraction form
    70.54/97.27 = 52.09/x
  3. Step 3: Cross multiply
    70.54x = 97.27 × 52.09
  4. Step 4: Simplify right side
    70.54x = 5,066.42
  5. Step 5: Solve for x
    x = 5,066.42/70.54
  6. Step 6: Final answer
    x = 71.83

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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.