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Finding the Fourth Proportional to 51.53, 77.14 and 38.06

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Solution

The fourth proportional to 51.53, 77.14 and 38.06 is: 56.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    51.53 : 77.14 = 38.06 : x
  2. Step 2: Convert to fraction form
    51.53/77.14 = 38.06/x
  3. Step 3: Cross multiply
    51.53x = 77.14 × 38.06
  4. Step 4: Simplify right side
    51.53x = 2,935.69
  5. Step 5: Solve for x
    x = 2,935.69/51.53
  6. Step 6: Final answer
    x = 56.98

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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.