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Finding the Fourth Proportional to 79.70, 110.07 and 59.09

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Solution

The fourth proportional to 79.70, 110.07 and 59.09 is: 81.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    79.70 : 110.07 = 59.09 : x
  2. Step 2: Convert to fraction form
    79.70/110.07 = 59.09/x
  3. Step 3: Cross multiply
    79.70x = 110.07 × 59.09
  4. Step 4: Simplify right side
    79.70x = 6,503.49
  5. Step 5: Solve for x
    x = 6,503.49/79.70
  6. Step 6: Final answer
    x = 81.60

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.