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Finding the Fourth Proportional to 259.06, 388.59 and 85.72

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Solution

The fourth proportional to 259.06, 388.59 and 85.72 is: 128.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    259.06 : 388.59 = 85.72 : x
  2. Step 2: Convert to fraction form
    259.06/388.59 = 85.72/x
  3. Step 3: Cross multiply
    259.06x = 388.59 × 85.72
  4. Step 4: Simplify right side
    259.06x = 33,309.93
  5. Step 5: Solve for x
    x = 33,309.93/259.06
  6. Step 6: Final answer
    x = 128.58

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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.