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Finding the Fourth Proportional to 136.79, 188.77 and 77.78

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Solution

The fourth proportional to 136.79, 188.77 and 77.78 is: 107.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    136.79 : 188.77 = 77.78 : x
  2. Step 2: Convert to fraction form
    136.79/188.77 = 77.78/x
  3. Step 3: Cross multiply
    136.79x = 188.77 × 77.78
  4. Step 4: Simplify right side
    136.79x = 14,681.20
  5. Step 5: Solve for x
    x = 14,681.20/136.79
  6. Step 6: Final answer
    x = 107.33

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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.