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Finding the Fourth Proportional to 15.90, 23.84 and 10.19

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Solution

The fourth proportional to 15.90, 23.84 and 10.19 is: 15.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    15.90 : 23.84 = 10.19 : x
  2. Step 2: Convert to fraction form
    15.90/23.84 = 10.19/x
  3. Step 3: Cross multiply
    15.90x = 23.84 × 10.19
  4. Step 4: Simplify right side
    15.90x = 242.76
  5. Step 5: Solve for x
    x = 242.76/15.90
  6. Step 6: Final answer
    x = 15.27

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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.