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Finding the Fourth Proportional to 29.86, 45.07 and 27.64

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Solution

The fourth proportional to 29.86, 45.07 and 27.64 is: 41.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    29.86 : 45.07 = 27.64 : x
  2. Step 2: Convert to fraction form
    29.86/45.07 = 27.64/x
  3. Step 3: Cross multiply
    29.86x = 45.07 × 27.64
  4. Step 4: Simplify right side
    29.86x = 1,245.73
  5. Step 5: Solve for x
    x = 1,245.73/29.86
  6. Step 6: Final answer
    x = 41.72

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.