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Finding the Fourth Proportional to 29.77, 44.64 and 14.56

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Solution

The fourth proportional to 29.77, 44.64 and 14.56 is: 21.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    29.77 : 44.64 = 14.56 : x
  2. Step 2: Convert to fraction form
    29.77/44.64 = 14.56/x
  3. Step 3: Cross multiply
    29.77x = 44.64 × 14.56
  4. Step 4: Simplify right side
    29.77x = 649.66
  5. Step 5: Solve for x
    x = 649.66/29.77
  6. Step 6: Final answer
    x = 21.83

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.