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Finding the Fourth Proportional to 51.96, 78.24 and 38.53

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Solution

The fourth proportional to 51.96, 78.24 and 38.53 is: 58.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    51.96 : 78.24 = 38.53 : x
  2. Step 2: Convert to fraction form
    51.96/78.24 = 38.53/x
  3. Step 3: Cross multiply
    51.96x = 78.24 × 38.53
  4. Step 4: Simplify right side
    51.96x = 3,014.39
  5. Step 5: Solve for x
    x = 3,014.39/51.96
  6. Step 6: Final answer
    x = 58.01

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.