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Finding the Fourth Proportional to 93.17, 140.24 and 83.25

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Solution

The fourth proportional to 93.17, 140.24 and 83.25 is: 125.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    93.17 : 140.24 = 83.25 : x
  2. Step 2: Convert to fraction form
    93.17/140.24 = 83.25/x
  3. Step 3: Cross multiply
    93.17x = 140.24 × 83.25
  4. Step 4: Simplify right side
    93.17x = 11,675.19
  5. Step 5: Solve for x
    x = 11,675.19/93.17
  6. Step 6: Final answer
    x = 125.31

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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.