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Finding the Fourth Proportional to 30.05, 45.13 and 17.24

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Solution

The fourth proportional to 30.05, 45.13 and 17.24 is: 25.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    30.05 : 45.13 = 17.24 : x
  2. Step 2: Convert to fraction form
    30.05/45.13 = 17.24/x
  3. Step 3: Cross multiply
    30.05x = 45.13 × 17.24
  4. Step 4: Simplify right side
    30.05x = 778.11
  5. Step 5: Solve for x
    x = 778.11/30.05
  6. Step 6: Final answer
    x = 25.89

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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.