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Finding the Fourth Proportional to 93.14, 128.60 and 69.85

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Solution

The fourth proportional to 93.14, 128.60 and 69.85 is: 96.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    93.14 : 128.60 = 69.85 : x
  2. Step 2: Convert to fraction form
    93.14/128.60 = 69.85/x
  3. Step 3: Cross multiply
    93.14x = 128.60 × 69.85
  4. Step 4: Simplify right side
    93.14x = 8,982.71
  5. Step 5: Solve for x
    x = 8,982.71/93.14
  6. Step 6: Final answer
    x = 96.44

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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.