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Finding the Fourth Proportional to 136.54, 188.41 and 78.32

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Solution

The fourth proportional to 136.54, 188.41 and 78.32 is: 108.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    136.54 : 188.41 = 78.32 : x
  2. Step 2: Convert to fraction form
    136.54/188.41 = 78.32/x
  3. Step 3: Cross multiply
    136.54x = 188.41 × 78.32
  4. Step 4: Simplify right side
    136.54x = 14,756.27
  5. Step 5: Solve for x
    x = 14,756.27/136.54
  6. Step 6: Final answer
    x = 108.07

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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.