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Finding the Fourth Proportional to 93.97, 140.93 and 65.08

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Solution

The fourth proportional to 93.97, 140.93 and 65.08 is: 97.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    93.97 : 140.93 = 65.08 : x
  2. Step 2: Convert to fraction form
    93.97/140.93 = 65.08/x
  3. Step 3: Cross multiply
    93.97x = 140.93 × 65.08
  4. Step 4: Simplify right side
    93.97x = 9,170.69
  5. Step 5: Solve for x
    x = 9,170.69/93.97
  6. Step 6: Final answer
    x = 97.60

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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.