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Finding the Fourth Proportional to 189.07, 260.93 and 106.19

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Solution

The fourth proportional to 189.07, 260.93 and 106.19 is: 146.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    189.07 : 260.93 = 106.19 : x
  2. Step 2: Convert to fraction form
    189.07/260.93 = 106.19/x
  3. Step 3: Cross multiply
    189.07x = 260.93 × 106.19
  4. Step 4: Simplify right side
    189.07x = 27,707.12
  5. Step 5: Solve for x
    x = 27,707.12/189.07
  6. Step 6: Final answer
    x = 146.54

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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.