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Finding the Fourth Proportional to 137.54, 189.78 and 114.42

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Solution

The fourth proportional to 137.54, 189.78 and 114.42 is: 157.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    137.54 : 189.78 = 114.42 : x
  2. Step 2: Convert to fraction form
    137.54/189.78 = 114.42/x
  3. Step 3: Cross multiply
    137.54x = 189.78 × 114.42
  4. Step 4: Simplify right side
    137.54x = 21,714.63
  5. Step 5: Solve for x
    x = 21,714.63/137.54
  6. Step 6: Final answer
    x = 157.88

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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.