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Finding the Fourth Proportional to 15.19, 22.76 and 7.57

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Solution

The fourth proportional to 15.19, 22.76 and 7.57 is: 11.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    15.19 : 22.76 = 7.57 : x
  2. Step 2: Convert to fraction form
    15.19/22.76 = 7.57/x
  3. Step 3: Cross multiply
    15.19x = 22.76 × 7.57
  4. Step 4: Simplify right side
    15.19x = 172.29
  5. Step 5: Solve for x
    x = 172.29/15.19
  6. Step 6: Final answer
    x = 11.34

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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.