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Finding the Fourth Proportional to 29.99, 41.35 and 23.84

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Solution

The fourth proportional to 29.99, 41.35 and 23.84 is: 32.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    29.99 : 41.35 = 23.84 : x
  2. Step 2: Convert to fraction form
    29.99/41.35 = 23.84/x
  3. Step 3: Cross multiply
    29.99x = 41.35 × 23.84
  4. Step 4: Simplify right side
    29.99x = 985.46
  5. Step 5: Solve for x
    x = 985.46/29.99
  6. Step 6: Final answer
    x = 32.87

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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.