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Finding the Fourth Proportional to 77.54, 106.91 and 52.94

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Solution

The fourth proportional to 77.54, 106.91 and 52.94 is: 72.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    77.54 : 106.91 = 52.94 : x
  2. Step 2: Convert to fraction form
    77.54/106.91 = 52.94/x
  3. Step 3: Cross multiply
    77.54x = 106.91 × 52.94
  4. Step 4: Simplify right side
    77.54x = 5,659.82
  5. Step 5: Solve for x
    x = 5,659.82/77.54
  6. Step 6: Final answer
    x = 72.99

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.