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Finding the Fourth Proportional to 93.69, 138.78 and 92.61

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Solution

The fourth proportional to 93.69, 138.78 and 92.61 is: 137.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    93.69 : 138.78 = 92.61 : x
  2. Step 2: Convert to fraction form
    93.69/138.78 = 92.61/x
  3. Step 3: Cross multiply
    93.69x = 138.78 × 92.61
  4. Step 4: Simplify right side
    93.69x = 12,852.42
  5. Step 5: Solve for x
    x = 12,852.42/93.69
  6. Step 6: Final answer
    x = 137.18

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These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.