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Finding the Fourth Proportional to 29.68, 41.04 and 26.96

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Solution

The fourth proportional to 29.68, 41.04 and 26.96 is: 37.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    29.68 : 41.04 = 26.96 : x
  2. Step 2: Convert to fraction form
    29.68/41.04 = 26.96/x
  3. Step 3: Cross multiply
    29.68x = 41.04 × 26.96
  4. Step 4: Simplify right side
    29.68x = 1,106.23
  5. Step 5: Solve for x
    x = 1,106.23/29.68
  6. Step 6: Final answer
    x = 37.28

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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.