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Finding the Fourth Proportional to 19.10, 26.40 and 16.40

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Solution

The fourth proportional to 19.10, 26.40 and 16.40 is: 22.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    19.10 : 26.40 = 16.40 : x
  2. Step 2: Convert to fraction form
    19.10/26.40 = 16.40/x
  3. Step 3: Cross multiply
    19.10x = 26.40 × 16.40
  4. Step 4: Simplify right side
    19.10x = 432.96
  5. Step 5: Solve for x
    x = 432.96/19.10
  6. Step 6: Final answer
    x = 22.67

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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.