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Finding the Fourth Proportional to 136.44, 188.32 and 78.24

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Solution

The fourth proportional to 136.44, 188.32 and 78.24 is: 107.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    136.44 : 188.32 = 78.24 : x
  2. Step 2: Convert to fraction form
    136.44/188.32 = 78.24/x
  3. Step 3: Cross multiply
    136.44x = 188.32 × 78.24
  4. Step 4: Simplify right side
    136.44x = 14,734.16
  5. Step 5: Solve for x
    x = 14,734.16/136.44
  6. Step 6: Final answer
    x = 107.99

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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.