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Finding the Fourth Proportional to 20.16, 27.83 and 14.70

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Solution

The fourth proportional to 20.16, 27.83 and 14.70 is: 20.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    20.16 : 27.83 = 14.70 : x
  2. Step 2: Convert to fraction form
    20.16/27.83 = 14.70/x
  3. Step 3: Cross multiply
    20.16x = 27.83 × 14.70
  4. Step 4: Simplify right side
    20.16x = 409.10
  5. Step 5: Solve for x
    x = 409.10/20.16
  6. Step 6: Final answer
    x = 20.29

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.