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Finding the Fourth Proportional to 39.84, 54.98 and 23.46

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Solution

The fourth proportional to 39.84, 54.98 and 23.46 is: 32.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    39.84 : 54.98 = 23.46 : x
  2. Step 2: Convert to fraction form
    39.84/54.98 = 23.46/x
  3. Step 3: Cross multiply
    39.84x = 54.98 × 23.46
  4. Step 4: Simplify right side
    39.84x = 1,289.85
  5. Step 5: Solve for x
    x = 1,289.85/39.84
  6. Step 6: Final answer
    x = 32.37

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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.