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Finding the Fourth Proportional to 17.66, 24.32 and 13.58

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Solution

The fourth proportional to 17.66, 24.32 and 13.58 is: 18.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    17.66 : 24.32 = 13.58 : x
  2. Step 2: Convert to fraction form
    17.66/24.32 = 13.58/x
  3. Step 3: Cross multiply
    17.66x = 24.32 × 13.58
  4. Step 4: Simplify right side
    17.66x = 330.27
  5. Step 5: Solve for x
    x = 330.27/17.66
  6. Step 6: Final answer
    x = 18.70

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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.