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Finding the Fourth Proportional to 56.14, 77.83 and 54.16

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Solution

The fourth proportional to 56.14, 77.83 and 54.16 is: 75.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    56.14 : 77.83 = 54.16 : x
  2. Step 2: Convert to fraction form
    56.14/77.83 = 54.16/x
  3. Step 3: Cross multiply
    56.14x = 77.83 × 54.16
  4. Step 4: Simplify right side
    56.14x = 4,215.27
  5. Step 5: Solve for x
    x = 4,215.27/56.14
  6. Step 6: Final answer
    x = 75.09

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.