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Finding the Fourth Proportional to 68.06, 93.45 and 57.66

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Solution

The fourth proportional to 68.06, 93.45 and 57.66 is: 79.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    68.06 : 93.45 = 57.66 : x
  2. Step 2: Convert to fraction form
    68.06/93.45 = 57.66/x
  3. Step 3: Cross multiply
    68.06x = 93.45 × 57.66
  4. Step 4: Simplify right side
    68.06x = 5,388.33
  5. Step 5: Solve for x
    x = 5,388.33/68.06
  6. Step 6: Final answer
    x = 79.18

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.