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Finding the Fourth Proportional to 29.67, 40.96 and 23.87

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Solution

The fourth proportional to 29.67, 40.96 and 23.87 is: 32.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    29.67 : 40.96 = 23.87 : x
  2. Step 2: Convert to fraction form
    29.67/40.96 = 23.87/x
  3. Step 3: Cross multiply
    29.67x = 40.96 × 23.87
  4. Step 4: Simplify right side
    29.67x = 977.51
  5. Step 5: Solve for x
    x = 977.51/29.67
  6. Step 6: Final answer
    x = 32.95

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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.