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Finding the Fourth Proportional to 92.10, 137.97 and 46.50

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Solution

The fourth proportional to 92.10, 137.97 and 46.50 is: 69.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    92.10 : 137.97 = 46.50 : x
  2. Step 2: Convert to fraction form
    92.10/137.97 = 46.50/x
  3. Step 3: Cross multiply
    92.10x = 137.97 × 46.50
  4. Step 4: Simplify right side
    92.10x = 6,415.61
  5. Step 5: Solve for x
    x = 6,415.61/92.10
  6. Step 6: Final answer
    x = 69.66

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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.