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Finding the Fourth Proportional to 54.86, 75.71 and 31.23

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Solution

The fourth proportional to 54.86, 75.71 and 31.23 is: 43.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    54.86 : 75.71 = 31.23 : x
  2. Step 2: Convert to fraction form
    54.86/75.71 = 31.23/x
  3. Step 3: Cross multiply
    54.86x = 75.71 × 31.23
  4. Step 4: Simplify right side
    54.86x = 2,364.27
  5. Step 5: Solve for x
    x = 2,364.27/54.86
  6. Step 6: Final answer
    x = 43.09

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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.