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Finding the Fourth Proportional to 92.32, 137.37 and 89.36

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Solution

The fourth proportional to 92.32, 137.37 and 89.36 is: 132.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    92.32 : 137.37 = 89.36 : x
  2. Step 2: Convert to fraction form
    92.32/137.37 = 89.36/x
  3. Step 3: Cross multiply
    92.32x = 137.37 × 89.36
  4. Step 4: Simplify right side
    92.32x = 12,275.38
  5. Step 5: Solve for x
    x = 12,275.38/92.32
  6. Step 6: Final answer
    x = 132.97

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