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Finding the Fourth Proportional to 34.54, 51.47 and 31.84

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Solution

The fourth proportional to 34.54, 51.47 and 31.84 is: 47.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    34.54 : 51.47 = 31.84 : x
  2. Step 2: Convert to fraction form
    34.54/51.47 = 31.84/x
  3. Step 3: Cross multiply
    34.54x = 51.47 × 31.84
  4. Step 4: Simplify right side
    34.54x = 1,638.80
  5. Step 5: Solve for x
    x = 1,638.80/34.54
  6. Step 6: Final answer
    x = 47.45

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.