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Finding the Fourth Proportional to 92.49, 138.75 and 46.83

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Solution

The fourth proportional to 92.49, 138.75 and 46.83 is: 70.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    92.49 : 138.75 = 46.83 : x
  2. Step 2: Convert to fraction form
    92.49/138.75 = 46.83/x
  3. Step 3: Cross multiply
    92.49x = 138.75 × 46.83
  4. Step 4: Simplify right side
    92.49x = 6,497.66
  5. Step 5: Solve for x
    x = 6,497.66/92.49
  6. Step 6: Final answer
    x = 70.25

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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.