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Finding the Fourth Proportional to 29.44, 40.66 and 23

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Solution

The fourth proportional to 29.44, 40.66 and 23 is: 31.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    29.44 : 40.66 = 23 : x
  2. Step 2: Convert to fraction form
    29.44/40.66 = 23/x
  3. Step 3: Cross multiply
    29.44x = 40.66 × 23
  4. Step 4: Simplify right side
    29.44x = 935.18
  5. Step 5: Solve for x
    x = 935.18/29.44
  6. Step 6: Final answer
    x = 31.77

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.