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Finding the Fourth Proportional to 93.89, 140.78 and 48.23

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Solution

The fourth proportional to 93.89, 140.78 and 48.23 is: 72.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    93.89 : 140.78 = 48.23 : x
  2. Step 2: Convert to fraction form
    93.89/140.78 = 48.23/x
  3. Step 3: Cross multiply
    93.89x = 140.78 × 48.23
  4. Step 4: Simplify right side
    93.89x = 6,788.87
  5. Step 5: Solve for x
    x = 6,788.87/93.89
  6. Step 6: Final answer
    x = 72.31

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.