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Finding the Fourth Proportional to 74.25, 101.79 and 68.76

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Solution

The fourth proportional to 74.25, 101.79 and 68.76 is: 94.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    74.25 : 101.79 = 68.76 : x
  2. Step 2: Convert to fraction form
    74.25/101.79 = 68.76/x
  3. Step 3: Cross multiply
    74.25x = 101.79 × 68.76
  4. Step 4: Simplify right side
    74.25x = 6,999.08
  5. Step 5: Solve for x
    x = 6,999.08/74.25
  6. Step 6: Final answer
    x = 94.26

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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.