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Finding the Fourth Proportional to 136.99, 189.05 and 78.77

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Solution

The fourth proportional to 136.99, 189.05 and 78.77 is: 108.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    136.99 : 189.05 = 78.77 : x
  2. Step 2: Convert to fraction form
    136.99/189.05 = 78.77/x
  3. Step 3: Cross multiply
    136.99x = 189.05 × 78.77
  4. Step 4: Simplify right side
    136.99x = 14,891.47
  5. Step 5: Solve for x
    x = 14,891.47/136.99
  6. Step 6: Final answer
    x = 108.70

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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.