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Finding the Fourth Proportional to 54.08, 74.57 and 34.64

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Solution

The fourth proportional to 54.08, 74.57 and 34.64 is: 47.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    54.08 : 74.57 = 34.64 : x
  2. Step 2: Convert to fraction form
    54.08/74.57 = 34.64/x
  3. Step 3: Cross multiply
    54.08x = 74.57 × 34.64
  4. Step 4: Simplify right side
    54.08x = 2,582.93
  5. Step 5: Solve for x
    x = 2,582.93/54.08
  6. Step 6: Final answer
    x = 47.76

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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.