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Finding the Fourth Proportional to 137.84, 189.64 and 106.58

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Solution

The fourth proportional to 137.84, 189.64 and 106.58 is: 146.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    137.84 : 189.64 = 106.58 : x
  2. Step 2: Convert to fraction form
    137.84/189.64 = 106.58/x
  3. Step 3: Cross multiply
    137.84x = 189.64 × 106.58
  4. Step 4: Simplify right side
    137.84x = 20,212.44
  5. Step 5: Solve for x
    x = 20,212.44/137.84
  6. Step 6: Final answer
    x = 146.64

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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.