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Finding the Fourth Proportional to 22.96, 31.61 and 22.45

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Solution

The fourth proportional to 22.96, 31.61 and 22.45 is: 30.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    22.96 : 31.61 = 22.45 : x
  2. Step 2: Convert to fraction form
    22.96/31.61 = 22.45/x
  3. Step 3: Cross multiply
    22.96x = 31.61 × 22.45
  4. Step 4: Simplify right side
    22.96x = 709.64
  5. Step 5: Solve for x
    x = 709.64/22.96
  6. Step 6: Final answer
    x = 30.91

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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.