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Finding the Fourth Proportional to 75.62, 112.80 and 70.97

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Solution

The fourth proportional to 75.62, 112.80 and 70.97 is: 105.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    75.62 : 112.80 = 70.97 : x
  2. Step 2: Convert to fraction form
    75.62/112.80 = 70.97/x
  3. Step 3: Cross multiply
    75.62x = 112.80 × 70.97
  4. Step 4: Simplify right side
    75.62x = 8,004.85
  5. Step 5: Solve for x
    x = 8,004.85/75.62
  6. Step 6: Final answer
    x = 105.86

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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.