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Finding the Fourth Proportional to 92.21, 138.38 and 51.64

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Solution

The fourth proportional to 92.21, 138.38 and 51.64 is: 77.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    92.21 : 138.38 = 51.64 : x
  2. Step 2: Convert to fraction form
    92.21/138.38 = 51.64/x
  3. Step 3: Cross multiply
    92.21x = 138.38 × 51.64
  4. Step 4: Simplify right side
    92.21x = 7,145.34
  5. Step 5: Solve for x
    x = 7,145.34/92.21
  6. Step 6: Final answer
    x = 77.49

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.