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Finding the Fourth Proportional to 56.11, 84 and 46.44

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Solution

The fourth proportional to 56.11, 84 and 46.44 is: 69.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    56.11 : 84 = 46.44 : x
  2. Step 2: Convert to fraction form
    56.11/84 = 46.44/x
  3. Step 3: Cross multiply
    56.11x = 84 × 46.44
  4. Step 4: Simplify right side
    56.11x = 3,900.96
  5. Step 5: Solve for x
    x = 3,900.96/56.11
  6. Step 6: Final answer
    x = 69.52

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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.