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Finding the Fourth Proportional to 93.57, 128.97 and 71.70

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Solution

The fourth proportional to 93.57, 128.97 and 71.70 is: 98.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    93.57 : 128.97 = 71.70 : x
  2. Step 2: Convert to fraction form
    93.57/128.97 = 71.70/x
  3. Step 3: Cross multiply
    93.57x = 128.97 × 71.70
  4. Step 4: Simplify right side
    93.57x = 9,247.15
  5. Step 5: Solve for x
    x = 9,247.15/93.57
  6. Step 6: Final answer
    x = 98.83

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