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Finding the Fourth Proportional to 92.91, 128.24 and 54.09

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Solution

The fourth proportional to 92.91, 128.24 and 54.09 is: 74.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    92.91 : 128.24 = 54.09 : x
  2. Step 2: Convert to fraction form
    92.91/128.24 = 54.09/x
  3. Step 3: Cross multiply
    92.91x = 128.24 × 54.09
  4. Step 4: Simplify right side
    92.91x = 6,936.23
  5. Step 5: Solve for x
    x = 6,936.23/92.91
  6. Step 6: Final answer
    x = 74.66

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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.