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Finding the Fourth Proportional to 79.85, 120.23 and 58.32

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Solution

The fourth proportional to 79.85, 120.23 and 58.32 is: 87.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    79.85 : 120.23 = 58.32 : x
  2. Step 2: Convert to fraction form
    79.85/120.23 = 58.32/x
  3. Step 3: Cross multiply
    79.85x = 120.23 × 58.32
  4. Step 4: Simplify right side
    79.85x = 7,011.52
  5. Step 5: Solve for x
    x = 7,011.52/79.85
  6. Step 6: Final answer
    x = 87.81

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