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Finding the Fourth Proportional to 137.09, 205.74 and 65.00

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Solution

The fourth proportional to 137.09, 205.74 and 65.00 is: 97.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    137.09 : 205.74 = 65.00 : x
  2. Step 2: Convert to fraction form
    137.09/205.74 = 65.00/x
  3. Step 3: Cross multiply
    137.09x = 205.74 × 65.00
  4. Step 4: Simplify right side
    137.09x = 13,373.61
  5. Step 5: Solve for x
    x = 13,373.61/137.09
  6. Step 6: Final answer
    x = 97.55

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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.