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Finding the Fourth Proportional to 17.55, 23.90 and 17.46

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Solution

The fourth proportional to 17.55, 23.90 and 17.46 is: 23.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    17.55 : 23.90 = 17.46 : x
  2. Step 2: Convert to fraction form
    17.55/23.90 = 17.46/x
  3. Step 3: Cross multiply
    17.55x = 23.90 × 17.46
  4. Step 4: Simplify right side
    17.55x = 417.29
  5. Step 5: Solve for x
    x = 417.29/17.55
  6. Step 6: Final answer
    x = 23.78

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These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.