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Finding the Fourth Proportional to 34.23, 50.98 and 34.04

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Solution

The fourth proportional to 34.23, 50.98 and 34.04 is: 50.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    34.23 : 50.98 = 34.04 : x
  2. Step 2: Convert to fraction form
    34.23/50.98 = 34.04/x
  3. Step 3: Cross multiply
    34.23x = 50.98 × 34.04
  4. Step 4: Simplify right side
    34.23x = 1,735.10
  5. Step 5: Solve for x
    x = 1,735.10/34.23
  6. Step 6: Final answer
    x = 50.69

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