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Finding the Fourth Proportional to 93.12, 138.94 and 82.45

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Solution

The fourth proportional to 93.12, 138.94 and 82.45 is: 123.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    93.12 : 138.94 = 82.45 : x
  2. Step 2: Convert to fraction form
    93.12/138.94 = 82.45/x
  3. Step 3: Cross multiply
    93.12x = 138.94 × 82.45
  4. Step 4: Simplify right side
    93.12x = 11,455.60
  5. Step 5: Solve for x
    x = 11,455.60/93.12
  6. Step 6: Final answer
    x = 123.02

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.