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Finding the Fourth Proportional to 93.92, 129.65 and 84.07

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Solution

The fourth proportional to 93.92, 129.65 and 84.07 is: 116.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    93.92 : 129.65 = 84.07 : x
  2. Step 2: Convert to fraction form
    93.92/129.65 = 84.07/x
  3. Step 3: Cross multiply
    93.92x = 129.65 × 84.07
  4. Step 4: Simplify right side
    93.92x = 10,898.97
  5. Step 5: Solve for x
    x = 10,898.97/93.92
  6. Step 6: Final answer
    x = 116.05

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.