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Finding the Fourth Proportional to 51.42, 77.03 and 24.02

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Solution

The fourth proportional to 51.42, 77.03 and 24.02 is: 35.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    51.42 : 77.03 = 24.02 : x
  2. Step 2: Convert to fraction form
    51.42/77.03 = 24.02/x
  3. Step 3: Cross multiply
    51.42x = 77.03 × 24.02
  4. Step 4: Simplify right side
    51.42x = 1,850.55
  5. Step 5: Solve for x
    x = 1,850.55/51.42
  6. Step 6: Final answer
    x = 35.99

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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.