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Finding the Fourth Proportional to 14.67, 22.02 and 13.77

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Solution

The fourth proportional to 14.67, 22.02 and 13.77 is: 20.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    14.67 : 22.02 = 13.77 : x
  2. Step 2: Convert to fraction form
    14.67/22.02 = 13.77/x
  3. Step 3: Cross multiply
    14.67x = 22.02 × 13.77
  4. Step 4: Simplify right side
    14.67x = 303.22
  5. Step 5: Solve for x
    x = 303.22/14.67
  6. Step 6: Final answer
    x = 20.67

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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.