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Finding the Fourth Proportional to 22.95, 31.46 and 22.92

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Solution

The fourth proportional to 22.95, 31.46 and 22.92 is: 31.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    22.95 : 31.46 = 22.92 : x
  2. Step 2: Convert to fraction form
    22.95/31.46 = 22.92/x
  3. Step 3: Cross multiply
    22.95x = 31.46 × 22.92
  4. Step 4: Simplify right side
    22.95x = 721.06
  5. Step 5: Solve for x
    x = 721.06/22.95
  6. Step 6: Final answer
    x = 31.42

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.