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Finding the Fourth Proportional to 68.22, 93.54 and 66.24

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Solution

The fourth proportional to 68.22, 93.54 and 66.24 is: 90.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    68.22 : 93.54 = 66.24 : x
  2. Step 2: Convert to fraction form
    68.22/93.54 = 66.24/x
  3. Step 3: Cross multiply
    68.22x = 93.54 × 66.24
  4. Step 4: Simplify right side
    68.22x = 6,196.09
  5. Step 5: Solve for x
    x = 6,196.09/68.22
  6. Step 6: Final answer
    x = 90.83

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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.