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Finding the Fourth Proportional to 93.10, 138.98 and 80.34

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Solution

The fourth proportional to 93.10, 138.98 and 80.34 is: 119.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    93.10 : 138.98 = 80.34 : x
  2. Step 2: Convert to fraction form
    93.10/138.98 = 80.34/x
  3. Step 3: Cross multiply
    93.10x = 138.98 × 80.34
  4. Step 4: Simplify right side
    93.10x = 11,165.65
  5. Step 5: Solve for x
    x = 11,165.65/93.10
  6. Step 6: Final answer
    x = 119.93

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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.