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Finding the Fourth Proportional to 93.23, 128.66 and 60.05

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Solution

The fourth proportional to 93.23, 128.66 and 60.05 is: 82.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    93.23 : 128.66 = 60.05 : x
  2. Step 2: Convert to fraction form
    93.23/128.66 = 60.05/x
  3. Step 3: Cross multiply
    93.23x = 128.66 × 60.05
  4. Step 4: Simplify right side
    93.23x = 7,725.09
  5. Step 5: Solve for x
    x = 7,725.09/93.23
  6. Step 6: Final answer
    x = 82.86

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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.