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Finding the Fourth Proportional to 55.46, 76.42 and 41.64

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Solution

The fourth proportional to 55.46, 76.42 and 41.64 is: 57.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    55.46 : 76.42 = 41.64 : x
  2. Step 2: Convert to fraction form
    55.46/76.42 = 41.64/x
  3. Step 3: Cross multiply
    55.46x = 76.42 × 41.64
  4. Step 4: Simplify right side
    55.46x = 3,181.92
  5. Step 5: Solve for x
    x = 3,181.92/55.46
  6. Step 6: Final answer
    x = 57.37

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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.