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Finding the Fourth Proportional to 205.01, 307.51 and 68.05

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Solution

The fourth proportional to 205.01, 307.51 and 68.05 is: 102.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    205.01 : 307.51 = 68.05 : x
  2. Step 2: Convert to fraction form
    205.01/307.51 = 68.05/x
  3. Step 3: Cross multiply
    205.01x = 307.51 × 68.05
  4. Step 4: Simplify right side
    205.01x = 20,926.52
  5. Step 5: Solve for x
    x = 20,926.52/205.01
  6. Step 6: Final answer
    x = 102.08

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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.