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Finding the Fourth Proportional to 79.30, 109.52 and 70.71

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Solution

The fourth proportional to 79.30, 109.52 and 70.71 is: 97.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    79.30 : 109.52 = 70.71 : x
  2. Step 2: Convert to fraction form
    79.30/109.52 = 70.71/x
  3. Step 3: Cross multiply
    79.30x = 109.52 × 70.71
  4. Step 4: Simplify right side
    79.30x = 7,744.48
  5. Step 5: Solve for x
    x = 7,744.48/79.30
  6. Step 6: Final answer
    x = 97.66

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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.