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Finding the Fourth Proportional to 77.43, 106.91 and 54.14

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Solution

The fourth proportional to 77.43, 106.91 and 54.14 is: 74.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    77.43 : 106.91 = 54.14 : x
  2. Step 2: Convert to fraction form
    77.43/106.91 = 54.14/x
  3. Step 3: Cross multiply
    77.43x = 106.91 × 54.14
  4. Step 4: Simplify right side
    77.43x = 5,788.11
  5. Step 5: Solve for x
    x = 5,788.11/77.43
  6. Step 6: Final answer
    x = 74.75

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Why These Related Problems?

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