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Finding the Fourth Proportional to 17.34, 26.00 and 7.19

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Solution

The fourth proportional to 17.34, 26.00 and 7.19 is: 10.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    17.34 : 26.00 = 7.19 : x
  2. Step 2: Convert to fraction form
    17.34/26.00 = 7.19/x
  3. Step 3: Cross multiply
    17.34x = 26.00 × 7.19
  4. Step 4: Simplify right side
    17.34x = 186.77
  5. Step 5: Solve for x
    x = 186.77/17.34
  6. Step 6: Final answer
    x = 10.77

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