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Finding the Fourth Proportional to 92.19, 127.23 and 52.85

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Solution

The fourth proportional to 92.19, 127.23 and 52.85 is: 72.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    92.19 : 127.23 = 52.85 : x
  2. Step 2: Convert to fraction form
    92.19/127.23 = 52.85/x
  3. Step 3: Cross multiply
    92.19x = 127.23 × 52.85
  4. Step 4: Simplify right side
    92.19x = 6,723.94
  5. Step 5: Solve for x
    x = 6,723.94/92.19
  6. Step 6: Final answer
    x = 72.93

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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.