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Finding the Fourth Proportional to 93.63, 128.46 and 85.41

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Solution

The fourth proportional to 93.63, 128.46 and 85.41 is: 117.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    93.63 : 128.46 = 85.41 : x
  2. Step 2: Convert to fraction form
    93.63/128.46 = 85.41/x
  3. Step 3: Cross multiply
    93.63x = 128.46 × 85.41
  4. Step 4: Simplify right side
    93.63x = 10,971.77
  5. Step 5: Solve for x
    x = 10,971.77/93.63
  6. Step 6: Final answer
    x = 117.18

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.