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Finding the Fourth Proportional to 137.67, 189.99 and 106.53

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Solution

The fourth proportional to 137.67, 189.99 and 106.53 is: 147.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    137.67 : 189.99 = 106.53 : x
  2. Step 2: Convert to fraction form
    137.67/189.99 = 106.53/x
  3. Step 3: Cross multiply
    137.67x = 189.99 × 106.53
  4. Step 4: Simplify right side
    137.67x = 20,239.63
  5. Step 5: Solve for x
    x = 20,239.63/137.67
  6. Step 6: Final answer
    x = 147.02

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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.