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Finding the Fourth Proportional to 105.46, 145.59 and 77.78

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Solution

The fourth proportional to 105.46, 145.59 and 77.78 is: 107.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    105.46 : 145.59 = 77.78 : x
  2. Step 2: Convert to fraction form
    105.46/145.59 = 77.78/x
  3. Step 3: Cross multiply
    105.46x = 145.59 × 77.78
  4. Step 4: Simplify right side
    105.46x = 11,323.99
  5. Step 5: Solve for x
    x = 11,323.99/105.46
  6. Step 6: Final answer
    x = 107.38

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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.