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Finding the Fourth Proportional to 29.96, 44.55 and 29.66

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Solution

The fourth proportional to 29.96, 44.55 and 29.66 is: 44.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    29.96 : 44.55 = 29.66 : x
  2. Step 2: Convert to fraction form
    29.96/44.55 = 29.66/x
  3. Step 3: Cross multiply
    29.96x = 44.55 × 29.66
  4. Step 4: Simplify right side
    29.96x = 1,321.35
  5. Step 5: Solve for x
    x = 1,321.35/29.96
  6. Step 6: Final answer
    x = 44.10

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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.