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Finding the Fourth Proportional to 30.66, 46.02 and 27.66

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Solution

The fourth proportional to 30.66, 46.02 and 27.66 is: 41.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    30.66 : 46.02 = 27.66 : x
  2. Step 2: Convert to fraction form
    30.66/46.02 = 27.66/x
  3. Step 3: Cross multiply
    30.66x = 46.02 × 27.66
  4. Step 4: Simplify right side
    30.66x = 1,272.91
  5. Step 5: Solve for x
    x = 1,272.91/30.66
  6. Step 6: Final answer
    x = 41.52

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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.