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Finding the Fourth Proportional to 137.58, 189.36 and 127.64

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Solution

The fourth proportional to 137.58, 189.36 and 127.64 is: 175.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    137.58 : 189.36 = 127.64 : x
  2. Step 2: Convert to fraction form
    137.58/189.36 = 127.64/x
  3. Step 3: Cross multiply
    137.58x = 189.36 × 127.64
  4. Step 4: Simplify right side
    137.58x = 24,168.96
  5. Step 5: Solve for x
    x = 24,168.96/137.58
  6. Step 6: Final answer
    x = 175.67

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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.