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Finding the Fourth Proportional to 34.80, 52.11 and 30.24

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Solution

The fourth proportional to 34.80, 52.11 and 30.24 is: 45.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    34.80 : 52.11 = 30.24 : x
  2. Step 2: Convert to fraction form
    34.80/52.11 = 30.24/x
  3. Step 3: Cross multiply
    34.80x = 52.11 × 30.24
  4. Step 4: Simplify right side
    34.80x = 1,575.81
  5. Step 5: Solve for x
    x = 1,575.81/34.80
  6. Step 6: Final answer
    x = 45.28

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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.