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Finding the Fourth Proportional to 27.66, 41.50 and 24.30

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Solution

The fourth proportional to 27.66, 41.50 and 24.30 is: 36.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    27.66 : 41.50 = 24.30 : x
  2. Step 2: Convert to fraction form
    27.66/41.50 = 24.30/x
  3. Step 3: Cross multiply
    27.66x = 41.50 × 24.30
  4. Step 4: Simplify right side
    27.66x = 1,008.34
  5. Step 5: Solve for x
    x = 1,008.34/27.66
  6. Step 6: Final answer
    x = 36.46

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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.