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Finding the Fourth Proportional to 93.24, 138.74 and 92.12

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Solution

The fourth proportional to 93.24, 138.74 and 92.12 is: 137.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    93.24 : 138.74 = 92.12 : x
  2. Step 2: Convert to fraction form
    93.24/138.74 = 92.12/x
  3. Step 3: Cross multiply
    93.24x = 138.74 × 92.12
  4. Step 4: Simplify right side
    93.24x = 12,779.57
  5. Step 5: Solve for x
    x = 12,779.57/93.24
  6. Step 6: Final answer
    x = 137.06

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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.