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Finding the Fourth Proportional to 54.41, 75.07 and 31.09

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Solution

The fourth proportional to 54.41, 75.07 and 31.09 is: 42.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    54.41 : 75.07 = 31.09 : x
  2. Step 2: Convert to fraction form
    54.41/75.07 = 31.09/x
  3. Step 3: Cross multiply
    54.41x = 75.07 × 31.09
  4. Step 4: Simplify right side
    54.41x = 2,333.66
  5. Step 5: Solve for x
    x = 2,333.66/54.41
  6. Step 6: Final answer
    x = 42.89

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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.