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Finding the Fourth Proportional to 29.84, 41.18 and 17.40

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Solution

The fourth proportional to 29.84, 41.18 and 17.40 is: 24.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    29.84 : 41.18 = 17.40 : x
  2. Step 2: Convert to fraction form
    29.84/41.18 = 17.40/x
  3. Step 3: Cross multiply
    29.84x = 41.18 × 17.40
  4. Step 4: Simplify right side
    29.84x = 716.53
  5. Step 5: Solve for x
    x = 716.53/29.84
  6. Step 6: Final answer
    x = 24.01

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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.