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Finding the Fourth Proportional to 137.45, 205.94 and 60.29

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Solution

The fourth proportional to 137.45, 205.94 and 60.29 is: 90.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    137.45 : 205.94 = 60.29 : x
  2. Step 2: Convert to fraction form
    137.45/205.94 = 60.29/x
  3. Step 3: Cross multiply
    137.45x = 205.94 × 60.29
  4. Step 4: Simplify right side
    137.45x = 12,416.12
  5. Step 5: Solve for x
    x = 12,416.12/137.45
  6. Step 6: Final answer
    x = 90.33

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.