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Finding the Fourth Proportional to 92.36, 137.84 and 89.93

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Solution

The fourth proportional to 92.36, 137.84 and 89.93 is: 134.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    92.36 : 137.84 = 89.93 : x
  2. Step 2: Convert to fraction form
    92.36/137.84 = 89.93/x
  3. Step 3: Cross multiply
    92.36x = 137.84 × 89.93
  4. Step 4: Simplify right side
    92.36x = 12,395.95
  5. Step 5: Solve for x
    x = 12,395.95/92.36
  6. Step 6: Final answer
    x = 134.21

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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.