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Finding the Fourth Proportional to 51.44, 77.12 and 23.65

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Solution

The fourth proportional to 51.44, 77.12 and 23.65 is: 35.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    51.44 : 77.12 = 23.65 : x
  2. Step 2: Convert to fraction form
    51.44/77.12 = 23.65/x
  3. Step 3: Cross multiply
    51.44x = 77.12 × 23.65
  4. Step 4: Simplify right side
    51.44x = 1,823.67
  5. Step 5: Solve for x
    x = 1,823.67/51.44
  6. Step 6: Final answer
    x = 35.45

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.