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Finding the Fourth Proportional to 93.50, 140.86 and 73.30

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Solution

The fourth proportional to 93.50, 140.86 and 73.30 is: 110.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    93.50 : 140.86 = 73.30 : x
  2. Step 2: Convert to fraction form
    93.50/140.86 = 73.30/x
  3. Step 3: Cross multiply
    93.50x = 140.86 × 73.30
  4. Step 4: Simplify right side
    93.50x = 10,325.39
  5. Step 5: Solve for x
    x = 10,325.39/93.50
  6. Step 6: Final answer
    x = 110.43

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.