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Finding the Fourth Proportional to 93.46, 128.75 and 65.78

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Solution

The fourth proportional to 93.46, 128.75 and 65.78 is: 90.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    93.46 : 128.75 = 65.78 : x
  2. Step 2: Convert to fraction form
    93.46/128.75 = 65.78/x
  3. Step 3: Cross multiply
    93.46x = 128.75 × 65.78
  4. Step 4: Simplify right side
    93.46x = 8,469.18
  5. Step 5: Solve for x
    x = 8,469.18/93.46
  6. Step 6: Final answer
    x = 90.62

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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.