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Finding the Fourth Proportional to 93.22, 140.01 and 71.65

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Solution

The fourth proportional to 93.22, 140.01 and 71.65 is: 107.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    93.22 : 140.01 = 71.65 : x
  2. Step 2: Convert to fraction form
    93.22/140.01 = 71.65/x
  3. Step 3: Cross multiply
    93.22x = 140.01 × 71.65
  4. Step 4: Simplify right side
    93.22x = 10,032.16
  5. Step 5: Solve for x
    x = 10,032.16/93.22
  6. Step 6: Final answer
    x = 107.62

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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.