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Finding the Fourth Proportional to 34.16, 51.14 and 30.80

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Solution

The fourth proportional to 34.16, 51.14 and 30.80 is: 46.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    34.16 : 51.14 = 30.80 : x
  2. Step 2: Convert to fraction form
    34.16/51.14 = 30.80/x
  3. Step 3: Cross multiply
    34.16x = 51.14 × 30.80
  4. Step 4: Simplify right side
    34.16x = 1,575.11
  5. Step 5: Solve for x
    x = 1,575.11/34.16
  6. Step 6: Final answer
    x = 46.11

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.