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Finding the Fourth Proportional to 93.35, 128.64 and 77.61

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Solution

The fourth proportional to 93.35, 128.64 and 77.61 is: 106.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    93.35 : 128.64 = 77.61 : x
  2. Step 2: Convert to fraction form
    93.35/128.64 = 77.61/x
  3. Step 3: Cross multiply
    93.35x = 128.64 × 77.61
  4. Step 4: Simplify right side
    93.35x = 9,983.36
  5. Step 5: Solve for x
    x = 9,983.36/93.35
  6. Step 6: Final answer
    x = 106.94

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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.