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Finding the Fourth Proportional to 70.54, 105.82 and 62.49

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Solution

The fourth proportional to 70.54, 105.82 and 62.49 is: 93.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    70.54 : 105.82 = 62.49 : x
  2. Step 2: Convert to fraction form
    70.54/105.82 = 62.49/x
  3. Step 3: Cross multiply
    70.54x = 105.82 × 62.49
  4. Step 4: Simplify right side
    70.54x = 6,612.54
  5. Step 5: Solve for x
    x = 6,612.54/70.54
  6. Step 6: Final answer
    x = 93.74

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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.