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Finding the Fourth Proportional to 97.05, 133.70 and 78.62

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Solution

The fourth proportional to 97.05, 133.70 and 78.62 is: 108.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    97.05 : 133.70 = 78.62 : x
  2. Step 2: Convert to fraction form
    97.05/133.70 = 78.62/x
  3. Step 3: Cross multiply
    97.05x = 133.70 × 78.62
  4. Step 4: Simplify right side
    97.05x = 10,511.63
  5. Step 5: Solve for x
    x = 10,511.63/97.05
  6. Step 6: Final answer
    x = 108.31

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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.