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Finding the Fourth Proportional to 93.58, 129.04 and 76.96

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Solution

The fourth proportional to 93.58, 129.04 and 76.96 is: 106.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    93.58 : 129.04 = 76.96 : x
  2. Step 2: Convert to fraction form
    93.58/129.04 = 76.96/x
  3. Step 3: Cross multiply
    93.58x = 129.04 × 76.96
  4. Step 4: Simplify right side
    93.58x = 9,930.92
  5. Step 5: Solve for x
    x = 9,930.92/93.58
  6. Step 6: Final answer
    x = 106.12

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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.