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Finding the Fourth Proportional to 92.35, 137.57 and 88.23

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Solution

The fourth proportional to 92.35, 137.57 and 88.23 is: 131.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    92.35 : 137.57 = 88.23 : x
  2. Step 2: Convert to fraction form
    92.35/137.57 = 88.23/x
  3. Step 3: Cross multiply
    92.35x = 137.57 × 88.23
  4. Step 4: Simplify right side
    92.35x = 12,137.80
  5. Step 5: Solve for x
    x = 12,137.80/92.35
  6. Step 6: Final answer
    x = 131.43

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.