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Finding the Fourth Proportional to 92.14, 138.24 and 46.48

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Solution

The fourth proportional to 92.14, 138.24 and 46.48 is: 69.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    92.14 : 138.24 = 46.48 : x
  2. Step 2: Convert to fraction form
    92.14/138.24 = 46.48/x
  3. Step 3: Cross multiply
    92.14x = 138.24 × 46.48
  4. Step 4: Simplify right side
    92.14x = 6,425.40
  5. Step 5: Solve for x
    x = 6,425.40/92.14
  6. Step 6: Final answer
    x = 69.74

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