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Finding the Fourth Proportional to 93.12, 128.66 and 82.77

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Solution

The fourth proportional to 93.12, 128.66 and 82.77 is: 114.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    93.12 : 128.66 = 82.77 : x
  2. Step 2: Convert to fraction form
    93.12/128.66 = 82.77/x
  3. Step 3: Cross multiply
    93.12x = 128.66 × 82.77
  4. Step 4: Simplify right side
    93.12x = 10,648.77
  5. Step 5: Solve for x
    x = 10,648.77/93.12
  6. Step 6: Final answer
    x = 114.36

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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.