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Finding the Fourth Proportional to 93.07, 128.54 and 82.89

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Solution

The fourth proportional to 93.07, 128.54 and 82.89 is: 114.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    93.07 : 128.54 = 82.89 : x
  2. Step 2: Convert to fraction form
    93.07/128.54 = 82.89/x
  3. Step 3: Cross multiply
    93.07x = 128.54 × 82.89
  4. Step 4: Simplify right side
    93.07x = 10,654.27
  5. Step 5: Solve for x
    x = 10,654.27/93.07
  6. Step 6: Final answer
    x = 114.48

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.