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Finding the Fourth Proportional to 69.56, 103.80 and 58.22

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Solution

The fourth proportional to 69.56, 103.80 and 58.22 is: 86.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    69.56 : 103.80 = 58.22 : x
  2. Step 2: Convert to fraction form
    69.56/103.80 = 58.22/x
  3. Step 3: Cross multiply
    69.56x = 103.80 × 58.22
  4. Step 4: Simplify right side
    69.56x = 6,043.24
  5. Step 5: Solve for x
    x = 6,043.24/69.56
  6. Step 6: Final answer
    x = 86.88

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.