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Finding the Fourth Proportional to 107.77, 148.69 and 68.42

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Solution

The fourth proportional to 107.77, 148.69 and 68.42 is: 94.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    107.77 : 148.69 = 68.42 : x
  2. Step 2: Convert to fraction form
    107.77/148.69 = 68.42/x
  3. Step 3: Cross multiply
    107.77x = 148.69 × 68.42
  4. Step 4: Simplify right side
    107.77x = 10,173.37
  5. Step 5: Solve for x
    x = 10,173.37/107.77
  6. Step 6: Final answer
    x = 94.40

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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.