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Finding the Fourth Proportional to 70.82, 106.89 and 70.82

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Solution

The fourth proportional to 70.82, 106.89 and 70.82 is: 106.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    70.82 : 106.89 = 70.82 : x
  2. Step 2: Convert to fraction form
    70.82/106.89 = 70.82/x
  3. Step 3: Cross multiply
    70.82x = 106.89 × 70.82
  4. Step 4: Simplify right side
    70.82x = 7,569.95
  5. Step 5: Solve for x
    x = 7,569.95/70.82
  6. Step 6: Final answer
    x = 106.89

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.