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Finding the Fourth Proportional to 137.57, 189.88 and 106.45

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Solution

The fourth proportional to 137.57, 189.88 and 106.45 is: 146.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    137.57 : 189.88 = 106.45 : x
  2. Step 2: Convert to fraction form
    137.57/189.88 = 106.45/x
  3. Step 3: Cross multiply
    137.57x = 189.88 × 106.45
  4. Step 4: Simplify right side
    137.57x = 20,211.99
  5. Step 5: Solve for x
    x = 20,211.99/137.57
  6. Step 6: Final answer
    x = 146.93

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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.