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Finding the Fourth Proportional to 30.44, 45.38 and 29.56

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Solution

The fourth proportional to 30.44, 45.38 and 29.56 is: 44.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    30.44 : 45.38 = 29.56 : x
  2. Step 2: Convert to fraction form
    30.44/45.38 = 29.56/x
  3. Step 3: Cross multiply
    30.44x = 45.38 × 29.56
  4. Step 4: Simplify right side
    30.44x = 1,341.43
  5. Step 5: Solve for x
    x = 1,341.43/30.44
  6. Step 6: Final answer
    x = 44.07

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.