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Finding the Fourth Proportional to 22.46, 33.70 and 15.70

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Solution

The fourth proportional to 22.46, 33.70 and 15.70 is: 23.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    22.46 : 33.70 = 15.70 : x
  2. Step 2: Convert to fraction form
    22.46/33.70 = 15.70/x
  3. Step 3: Cross multiply
    22.46x = 33.70 × 15.70
  4. Step 4: Simplify right side
    22.46x = 529.01
  5. Step 5: Solve for x
    x = 529.01/22.46
  6. Step 6: Final answer
    x = 23.56

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.