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Finding the Fourth Proportional to 137.06, 205.48 and 45.72

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Solution

The fourth proportional to 137.06, 205.48 and 45.72 is: 68.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    137.06 : 205.48 = 45.72 : x
  2. Step 2: Convert to fraction form
    137.06/205.48 = 45.72/x
  3. Step 3: Cross multiply
    137.06x = 205.48 × 45.72
  4. Step 4: Simplify right side
    137.06x = 9,394.55
  5. Step 5: Solve for x
    x = 9,394.55/137.06
  6. Step 6: Final answer
    x = 68.54

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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.