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Finding the Fourth Proportional to 29.87, 40.91 and 29.16

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Solution

The fourth proportional to 29.87, 40.91 and 29.16 is: 39.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    29.87 : 40.91 = 29.16 : x
  2. Step 2: Convert to fraction form
    29.87/40.91 = 29.16/x
  3. Step 3: Cross multiply
    29.87x = 40.91 × 29.16
  4. Step 4: Simplify right side
    29.87x = 1,192.79
  5. Step 5: Solve for x
    x = 1,192.79/29.87
  6. Step 6: Final answer
    x = 39.93

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.