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Finding the Fourth Proportional to 51.42, 77.14 and 15.36

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Solution

The fourth proportional to 51.42, 77.14 and 15.36 is: 23.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    51.42 : 77.14 = 15.36 : x
  2. Step 2: Convert to fraction form
    51.42/77.14 = 15.36/x
  3. Step 3: Cross multiply
    51.42x = 77.14 × 15.36
  4. Step 4: Simplify right side
    51.42x = 1,184.54
  5. Step 5: Solve for x
    x = 1,184.54/51.42
  6. Step 6: Final answer
    x = 23.03

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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.