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Finding the Fourth Proportional to 29.72, 40.76 and 29.12

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Solution

The fourth proportional to 29.72, 40.76 and 29.12 is: 39.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    29.72 : 40.76 = 29.12 : x
  2. Step 2: Convert to fraction form
    29.72/40.76 = 29.12/x
  3. Step 3: Cross multiply
    29.72x = 40.76 × 29.12
  4. Step 4: Simplify right side
    29.72x = 1,186.93
  5. Step 5: Solve for x
    x = 1,186.93/29.72
  6. Step 6: Final answer
    x = 39.94

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Why These Related Problems?

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