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Finding the Fourth Proportional to 93.22, 140.06 and 86.85

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Solution

The fourth proportional to 93.22, 140.06 and 86.85 is: 130.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    93.22 : 140.06 = 86.85 : x
  2. Step 2: Convert to fraction form
    93.22/140.06 = 86.85/x
  3. Step 3: Cross multiply
    93.22x = 140.06 × 86.85
  4. Step 4: Simplify right side
    93.22x = 12,164.43
  5. Step 5: Solve for x
    x = 12,164.43/93.22
  6. Step 6: Final answer
    x = 130.50

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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.