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Finding the Fourth Proportional to 34.23, 51.15 and 33.57

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Solution

The fourth proportional to 34.23, 51.15 and 33.57 is: 50.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    34.23 : 51.15 = 33.57 : x
  2. Step 2: Convert to fraction form
    34.23/51.15 = 33.57/x
  3. Step 3: Cross multiply
    34.23x = 51.15 × 33.57
  4. Step 4: Simplify right side
    34.23x = 1,717.11
  5. Step 5: Solve for x
    x = 1,717.11/34.23
  6. Step 6: Final answer
    x = 50.16

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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.