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Finding the Fourth Proportional to 74.62, 102.77 and 66.42

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Solution

The fourth proportional to 74.62, 102.77 and 66.42 is: 91.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    74.62 : 102.77 = 66.42 : x
  2. Step 2: Convert to fraction form
    74.62/102.77 = 66.42/x
  3. Step 3: Cross multiply
    74.62x = 102.77 × 66.42
  4. Step 4: Simplify right side
    74.62x = 6,825.90
  5. Step 5: Solve for x
    x = 6,825.90/74.62
  6. Step 6: Final answer
    x = 91.47

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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.