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Finding the Fourth Proportional to 56.82, 78.32 and 34.94

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Solution

The fourth proportional to 56.82, 78.32 and 34.94 is: 48.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    56.82 : 78.32 = 34.94 : x
  2. Step 2: Convert to fraction form
    56.82/78.32 = 34.94/x
  3. Step 3: Cross multiply
    56.82x = 78.32 × 34.94
  4. Step 4: Simplify right side
    56.82x = 2,736.50
  5. Step 5: Solve for x
    x = 2,736.50/56.82
  6. Step 6: Final answer
    x = 48.16

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.