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Finding the Fourth Proportional to 137.07, 205.64 and 40.88

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Solution

The fourth proportional to 137.07, 205.64 and 40.88 is: 61.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    137.07 : 205.64 = 40.88 : x
  2. Step 2: Convert to fraction form
    137.07/205.64 = 40.88/x
  3. Step 3: Cross multiply
    137.07x = 205.64 × 40.88
  4. Step 4: Simplify right side
    137.07x = 8,405.33
  5. Step 5: Solve for x
    x = 8,405.33/137.07
  6. Step 6: Final answer
    x = 61.32

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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.