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Finding the Fourth Proportional to 74.05, 102.26 and 60.28

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Solution

The fourth proportional to 74.05, 102.26 and 60.28 is: 83.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    74.05 : 102.26 = 60.28 : x
  2. Step 2: Convert to fraction form
    74.05/102.26 = 60.28/x
  3. Step 3: Cross multiply
    74.05x = 102.26 × 60.28
  4. Step 4: Simplify right side
    74.05x = 6,164.13
  5. Step 5: Solve for x
    x = 6,164.13/74.05
  6. Step 6: Final answer
    x = 83.25

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.