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Finding the Fourth Proportional to 93.44, 128.76 and 83.72

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Solution

The fourth proportional to 93.44, 128.76 and 83.72 is: 115.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    93.44 : 128.76 = 83.72 : x
  2. Step 2: Convert to fraction form
    93.44/128.76 = 83.72/x
  3. Step 3: Cross multiply
    93.44x = 128.76 × 83.72
  4. Step 4: Simplify right side
    93.44x = 10,779.79
  5. Step 5: Solve for x
    x = 10,779.79/93.44
  6. Step 6: Final answer
    x = 115.37

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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.