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Finding the Fourth Proportional to 79.56, 109.76 and 51.91

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Solution

The fourth proportional to 79.56, 109.76 and 51.91 is: 71.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    79.56 : 109.76 = 51.91 : x
  2. Step 2: Convert to fraction form
    79.56/109.76 = 51.91/x
  3. Step 3: Cross multiply
    79.56x = 109.76 × 51.91
  4. Step 4: Simplify right side
    79.56x = 5,697.11
  5. Step 5: Solve for x
    x = 5,697.11/79.56
  6. Step 6: Final answer
    x = 71.61

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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.