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Finding the Fourth Proportional to 29.64, 40.91 and 17.99

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Solution

The fourth proportional to 29.64, 40.91 and 17.99 is: 24.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    29.64 : 40.91 = 17.99 : x
  2. Step 2: Convert to fraction form
    29.64/40.91 = 17.99/x
  3. Step 3: Cross multiply
    29.64x = 40.91 × 17.99
  4. Step 4: Simplify right side
    29.64x = 735.68
  5. Step 5: Solve for x
    x = 735.68/29.64
  6. Step 6: Final answer
    x = 24.82

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.