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Finding the Fourth Proportional to 22.77, 31.42 and 13.06

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Solution

The fourth proportional to 22.77, 31.42 and 13.06 is: 18.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    22.77 : 31.42 = 13.06 : x
  2. Step 2: Convert to fraction form
    22.77/31.42 = 13.06/x
  3. Step 3: Cross multiply
    22.77x = 31.42 × 13.06
  4. Step 4: Simplify right side
    22.77x = 410.28
  5. Step 5: Solve for x
    x = 410.28/22.77
  6. Step 6: Final answer
    x = 18.02

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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.