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Finding the Fourth Proportional to 54.61, 74.66 and 54.61

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Solution

The fourth proportional to 54.61, 74.66 and 54.61 is: 74.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    54.61 : 74.66 = 54.61 : x
  2. Step 2: Convert to fraction form
    54.61/74.66 = 54.61/x
  3. Step 3: Cross multiply
    54.61x = 74.66 × 54.61
  4. Step 4: Simplify right side
    54.61x = 4,076.72
  5. Step 5: Solve for x
    x = 4,076.72/54.61
  6. Step 6: Final answer
    x = 74.66

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.