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Finding the Fourth Proportional to 51.93, 77.40 and 50.72

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Solution

The fourth proportional to 51.93, 77.40 and 50.72 is: 75.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    51.93 : 77.40 = 50.72 : x
  2. Step 2: Convert to fraction form
    51.93/77.40 = 50.72/x
  3. Step 3: Cross multiply
    51.93x = 77.40 × 50.72
  4. Step 4: Simplify right side
    51.93x = 3,925.34
  5. Step 5: Solve for x
    x = 3,925.34/51.93
  6. Step 6: Final answer
    x = 75.59

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.