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Finding the Fourth Proportional to 189.12, 260.93 and 123.67

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Solution

The fourth proportional to 189.12, 260.93 and 123.67 is: 170.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    189.12 : 260.93 = 123.67 : x
  2. Step 2: Convert to fraction form
    189.12/260.93 = 123.67/x
  3. Step 3: Cross multiply
    189.12x = 260.93 × 123.67
  4. Step 4: Simplify right side
    189.12x = 32,269.21
  5. Step 5: Solve for x
    x = 32,269.21/189.12
  6. Step 6: Final answer
    x = 170.63

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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.