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Finding the Fourth Proportional to 92.21, 127.21 and 53.38

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Solution

The fourth proportional to 92.21, 127.21 and 53.38 is: 73.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    92.21 : 127.21 = 53.38 : x
  2. Step 2: Convert to fraction form
    92.21/127.21 = 53.38/x
  3. Step 3: Cross multiply
    92.21x = 127.21 × 53.38
  4. Step 4: Simplify right side
    92.21x = 6,790.47
  5. Step 5: Solve for x
    x = 6,790.47/92.21
  6. Step 6: Final answer
    x = 73.64

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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.