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Finding the Fourth Proportional to 70.82, 105.99 and 58.49

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Solution

The fourth proportional to 70.82, 105.99 and 58.49 is: 87.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    70.82 : 105.99 = 58.49 : x
  2. Step 2: Convert to fraction form
    70.82/105.99 = 58.49/x
  3. Step 3: Cross multiply
    70.82x = 105.99 × 58.49
  4. Step 4: Simplify right side
    70.82x = 6,199.36
  5. Step 5: Solve for x
    x = 6,199.36/70.82
  6. Step 6: Final answer
    x = 87.54

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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.