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Finding the Fourth Proportional to 137.10, 189.24 and 106.14

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Solution

The fourth proportional to 137.10, 189.24 and 106.14 is: 146.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    137.10 : 189.24 = 106.14 : x
  2. Step 2: Convert to fraction form
    137.10/189.24 = 106.14/x
  3. Step 3: Cross multiply
    137.10x = 189.24 × 106.14
  4. Step 4: Simplify right side
    137.10x = 20,085.93
  5. Step 5: Solve for x
    x = 20,085.93/137.10
  6. Step 6: Final answer
    x = 146.51

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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.