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Finding the Fourth Proportional to 22.57, 31.05 and 22

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Solution

The fourth proportional to 22.57, 31.05 and 22 is: 30.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    22.57 : 31.05 = 22 : x
  2. Step 2: Convert to fraction form
    22.57/31.05 = 22/x
  3. Step 3: Cross multiply
    22.57x = 31.05 × 22
  4. Step 4: Simplify right side
    22.57x = 683.10
  5. Step 5: Solve for x
    x = 683.10/22.57
  6. Step 6: Final answer
    x = 30.27

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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.