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Finding the Fourth Proportional to 19.42, 26.76 and 12.96

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Solution

The fourth proportional to 19.42, 26.76 and 12.96 is: 17.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    19.42 : 26.76 = 12.96 : x
  2. Step 2: Convert to fraction form
    19.42/26.76 = 12.96/x
  3. Step 3: Cross multiply
    19.42x = 26.76 × 12.96
  4. Step 4: Simplify right side
    19.42x = 346.81
  5. Step 5: Solve for x
    x = 346.81/19.42
  6. Step 6: Final answer
    x = 17.86

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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.