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Finding the Fourth Proportional to 27.10, 40.65 and 12.67

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Solution

The fourth proportional to 27.10, 40.65 and 12.67 is: 19.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    27.10 : 40.65 = 12.67 : x
  2. Step 2: Convert to fraction form
    27.10/40.65 = 12.67/x
  3. Step 3: Cross multiply
    27.10x = 40.65 × 12.67
  4. Step 4: Simplify right side
    27.10x = 515.04
  5. Step 5: Solve for x
    x = 515.04/27.10
  6. Step 6: Final answer
    x = 19.01

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