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Finding the Fourth Proportional to 137.45, 189.64 and 109.78

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Solution

The fourth proportional to 137.45, 189.64 and 109.78 is: 151.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    137.45 : 189.64 = 109.78 : x
  2. Step 2: Convert to fraction form
    137.45/189.64 = 109.78/x
  3. Step 3: Cross multiply
    137.45x = 189.64 × 109.78
  4. Step 4: Simplify right side
    137.45x = 20,818.34
  5. Step 5: Solve for x
    x = 20,818.34/137.45
  6. Step 6: Final answer
    x = 151.46

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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.