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Finding the Fourth Proportional to 70.49, 97.19 and 54.09

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Solution

The fourth proportional to 70.49, 97.19 and 54.09 is: 74.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    70.49 : 97.19 = 54.09 : x
  2. Step 2: Convert to fraction form
    70.49/97.19 = 54.09/x
  3. Step 3: Cross multiply
    70.49x = 97.19 × 54.09
  4. Step 4: Simplify right side
    70.49x = 5,257.01
  5. Step 5: Solve for x
    x = 5,257.01/70.49
  6. Step 6: Final answer
    x = 74.58

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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.