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Finding the Fourth Proportional to 42.16, 63.16 and 20.80

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Solution

The fourth proportional to 42.16, 63.16 and 20.80 is: 31.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    42.16 : 63.16 = 20.80 : x
  2. Step 2: Convert to fraction form
    42.16/63.16 = 20.80/x
  3. Step 3: Cross multiply
    42.16x = 63.16 × 20.80
  4. Step 4: Simplify right side
    42.16x = 1,313.73
  5. Step 5: Solve for x
    x = 1,313.73/42.16
  6. Step 6: Final answer
    x = 31.16

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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.