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Finding the Fourth Proportional to 93.30, 140.12 and 77.27

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Solution

The fourth proportional to 93.30, 140.12 and 77.27 is: 116.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    93.30 : 140.12 = 77.27 : x
  2. Step 2: Convert to fraction form
    93.30/140.12 = 77.27/x
  3. Step 3: Cross multiply
    93.30x = 140.12 × 77.27
  4. Step 4: Simplify right side
    93.30x = 10,827.07
  5. Step 5: Solve for x
    x = 10,827.07/93.30
  6. Step 6: Final answer
    x = 116.05

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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.