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Finding the Fourth Proportional to 70.82, 97.58 and 54.42

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Solution

The fourth proportional to 70.82, 97.58 and 54.42 is: 74.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    70.82 : 97.58 = 54.42 : x
  2. Step 2: Convert to fraction form
    70.82/97.58 = 54.42/x
  3. Step 3: Cross multiply
    70.82x = 97.58 × 54.42
  4. Step 4: Simplify right side
    70.82x = 5,310.30
  5. Step 5: Solve for x
    x = 5,310.30/70.82
  6. Step 6: Final answer
    x = 74.98

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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.