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Finding the Fourth Proportional to 54.92, 75.66 and 42.64

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Solution

The fourth proportional to 54.92, 75.66 and 42.64 is: 58.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    54.92 : 75.66 = 42.64 : x
  2. Step 2: Convert to fraction form
    54.92/75.66 = 42.64/x
  3. Step 3: Cross multiply
    54.92x = 75.66 × 42.64
  4. Step 4: Simplify right side
    54.92x = 3,226.14
  5. Step 5: Solve for x
    x = 3,226.14/54.92
  6. Step 6: Final answer
    x = 58.74

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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.