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Finding the Fourth Proportional to 69.98, 105.21 and 56.54

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Solution

The fourth proportional to 69.98, 105.21 and 56.54 is: 85.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    69.98 : 105.21 = 56.54 : x
  2. Step 2: Convert to fraction form
    69.98/105.21 = 56.54/x
  3. Step 3: Cross multiply
    69.98x = 105.21 × 56.54
  4. Step 4: Simplify right side
    69.98x = 5,948.76
  5. Step 5: Solve for x
    x = 5,948.76/69.98
  6. Step 6: Final answer
    x = 85.01

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.