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Finding the Fourth Proportional to 137.00, 205.42 and 45.66

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Solution

The fourth proportional to 137.00, 205.42 and 45.66 is: 68.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    137.00 : 205.42 = 45.66 : x
  2. Step 2: Convert to fraction form
    137.00/205.42 = 45.66/x
  3. Step 3: Cross multiply
    137.00x = 205.42 × 45.66
  4. Step 4: Simplify right side
    137.00x = 9,379.36
  5. Step 5: Solve for x
    x = 9,379.36/137.00
  6. Step 6: Final answer
    x = 68.47

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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.