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Finding the Fourth Proportional to 22.55, 31.12 and 12.84

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Solution

The fourth proportional to 22.55, 31.12 and 12.84 is: 17.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    22.55 : 31.12 = 12.84 : x
  2. Step 2: Convert to fraction form
    22.55/31.12 = 12.84/x
  3. Step 3: Cross multiply
    22.55x = 31.12 × 12.84
  4. Step 4: Simplify right side
    22.55x = 399.67
  5. Step 5: Solve for x
    x = 399.67/22.55
  6. Step 6: Final answer
    x = 17.72

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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.