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Finding the Fourth Proportional to 137.70, 189.45 and 128.46

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Solution

The fourth proportional to 137.70, 189.45 and 128.46 is: 176.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    137.70 : 189.45 = 128.46 : x
  2. Step 2: Convert to fraction form
    137.70/189.45 = 128.46/x
  3. Step 3: Cross multiply
    137.70x = 189.45 × 128.46
  4. Step 4: Simplify right side
    137.70x = 24,336.75
  5. Step 5: Solve for x
    x = 24,336.75/137.70
  6. Step 6: Final answer
    x = 176.74

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.