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Finding the Fourth Proportional to 27.11, 40.58 and 19.89

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Solution

The fourth proportional to 27.11, 40.58 and 19.89 is: 29.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    27.11 : 40.58 = 19.89 : x
  2. Step 2: Convert to fraction form
    27.11/40.58 = 19.89/x
  3. Step 3: Cross multiply
    27.11x = 40.58 × 19.89
  4. Step 4: Simplify right side
    27.11x = 807.14
  5. Step 5: Solve for x
    x = 807.14/27.11
  6. Step 6: Final answer
    x = 29.77

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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.