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Finding the Fourth Proportional to 93, 128.20 and 82.02

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Solution

The fourth proportional to 93, 128.20 and 82.02 is: 113.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    93 : 128.20 = 82.02 : x
  2. Step 2: Convert to fraction form
    93/128.20 = 82.02/x
  3. Step 3: Cross multiply
    93x = 128.20 × 82.02
  4. Step 4: Simplify right side
    93x = 10,514.96
  5. Step 5: Solve for x
    x = 10,514.96/93
  6. Step 6: Final answer
    x = 113.06

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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.