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Finding the Fourth Proportional to 48.94, 67.55 and 31.46

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Solution

The fourth proportional to 48.94, 67.55 and 31.46 is: 43.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    48.94 : 67.55 = 31.46 : x
  2. Step 2: Convert to fraction form
    48.94/67.55 = 31.46/x
  3. Step 3: Cross multiply
    48.94x = 67.55 × 31.46
  4. Step 4: Simplify right side
    48.94x = 2,125.03
  5. Step 5: Solve for x
    x = 2,125.03/48.94
  6. Step 6: Final answer
    x = 43.42

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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.