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Finding the Fourth Proportional to 29.16, 43.94 and 24.71

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Solution

The fourth proportional to 29.16, 43.94 and 24.71 is: 37.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    29.16 : 43.94 = 24.71 : x
  2. Step 2: Convert to fraction form
    29.16/43.94 = 24.71/x
  3. Step 3: Cross multiply
    29.16x = 43.94 × 24.71
  4. Step 4: Simplify right side
    29.16x = 1,085.60
  5. Step 5: Solve for x
    x = 1,085.60/29.16
  6. Step 6: Final answer
    x = 37.23

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.