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Finding the Fourth Proportional to 92.94, 137.46 and 92.94

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Solution

The fourth proportional to 92.94, 137.46 and 92.94 is: 137.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    92.94 : 137.46 = 92.94 : x
  2. Step 2: Convert to fraction form
    92.94/137.46 = 92.94/x
  3. Step 3: Cross multiply
    92.94x = 137.46 × 92.94
  4. Step 4: Simplify right side
    92.94x = 12,775.53
  5. Step 5: Solve for x
    x = 12,775.53/92.94
  6. Step 6: Final answer
    x = 137.46

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.