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Finding the Fourth Proportional to 17.60, 24 and 17.34

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Solution

The fourth proportional to 17.60, 24 and 17.34 is: 23.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    17.60 : 24 = 17.34 : x
  2. Step 2: Convert to fraction form
    17.60/24 = 17.34/x
  3. Step 3: Cross multiply
    17.60x = 24 × 17.34
  4. Step 4: Simplify right side
    17.60x = 416.16
  5. Step 5: Solve for x
    x = 416.16/17.60
  6. Step 6: Final answer
    x = 23.65

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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.