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Finding the Fourth Proportional to 93.46, 128.89 and 65.86

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Solution

The fourth proportional to 93.46, 128.89 and 65.86 is: 90.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    93.46 : 128.89 = 65.86 : x
  2. Step 2: Convert to fraction form
    93.46/128.89 = 65.86/x
  3. Step 3: Cross multiply
    93.46x = 128.89 × 65.86
  4. Step 4: Simplify right side
    93.46x = 8,487.72
  5. Step 5: Solve for x
    x = 8,487.72/93.46
  6. Step 6: Final answer
    x = 90.82

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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.