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Finding the Fourth Proportional to 29.64, 40.88 and 23.79

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Solution

The fourth proportional to 29.64, 40.88 and 23.79 is: 32.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    29.64 : 40.88 = 23.79 : x
  2. Step 2: Convert to fraction form
    29.64/40.88 = 23.79/x
  3. Step 3: Cross multiply
    29.64x = 40.88 × 23.79
  4. Step 4: Simplify right side
    29.64x = 972.42
  5. Step 5: Solve for x
    x = 972.42/29.64
  6. Step 6: Final answer
    x = 32.81

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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.