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Finding the Fourth Proportional to 93.46, 128.24 and 84.64

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Solution

The fourth proportional to 93.46, 128.24 and 84.64 is: 116.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    93.46 : 128.24 = 84.64 : x
  2. Step 2: Convert to fraction form
    93.46/128.24 = 84.64/x
  3. Step 3: Cross multiply
    93.46x = 128.24 × 84.64
  4. Step 4: Simplify right side
    93.46x = 10,854.23
  5. Step 5: Solve for x
    x = 10,854.23/93.46
  6. Step 6: Final answer
    x = 116.14

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Why These Related Problems?

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