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Finding the Fourth Proportional to 56.48, 84.86 and 29.44

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Solution

The fourth proportional to 56.48, 84.86 and 29.44 is: 44.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    56.48 : 84.86 = 29.44 : x
  2. Step 2: Convert to fraction form
    56.48/84.86 = 29.44/x
  3. Step 3: Cross multiply
    56.48x = 84.86 × 29.44
  4. Step 4: Simplify right side
    56.48x = 2,498.28
  5. Step 5: Solve for x
    x = 2,498.28/56.48
  6. Step 6: Final answer
    x = 44.23

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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.