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Finding the Fourth Proportional to 56.92, 78.46 and 54.84

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Solution

The fourth proportional to 56.92, 78.46 and 54.84 is: 75.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    56.92 : 78.46 = 54.84 : x
  2. Step 2: Convert to fraction form
    56.92/78.46 = 54.84/x
  3. Step 3: Cross multiply
    56.92x = 78.46 × 54.84
  4. Step 4: Simplify right side
    56.92x = 4,302.75
  5. Step 5: Solve for x
    x = 4,302.75/56.92
  6. Step 6: Final answer
    x = 75.59

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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.