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Finding the Fourth Proportional to 70.82, 105.70 and 62.72

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Solution

The fourth proportional to 70.82, 105.70 and 62.72 is: 93.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    70.82 : 105.70 = 62.72 : x
  2. Step 2: Convert to fraction form
    70.82/105.70 = 62.72/x
  3. Step 3: Cross multiply
    70.82x = 105.70 × 62.72
  4. Step 4: Simplify right side
    70.82x = 6,629.50
  5. Step 5: Solve for x
    x = 6,629.50/70.82
  6. Step 6: Final answer
    x = 93.61

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.