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Finding the Fourth Proportional to 15.80, 23.60 and 11.98

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Solution

The fourth proportional to 15.80, 23.60 and 11.98 is: 17.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    15.80 : 23.60 = 11.98 : x
  2. Step 2: Convert to fraction form
    15.80/23.60 = 11.98/x
  3. Step 3: Cross multiply
    15.80x = 23.60 × 11.98
  4. Step 4: Simplify right side
    15.80x = 282.61
  5. Step 5: Solve for x
    x = 282.61/15.80
  6. Step 6: Final answer
    x = 17.89

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.