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Finding the Fourth Proportional to 93.76, 129.60 and 77.36

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Solution

The fourth proportional to 93.76, 129.60 and 77.36 is: 106.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    93.76 : 129.60 = 77.36 : x
  2. Step 2: Convert to fraction form
    93.76/129.60 = 77.36/x
  3. Step 3: Cross multiply
    93.76x = 129.60 × 77.36
  4. Step 4: Simplify right side
    93.76x = 10,025.21
  5. Step 5: Solve for x
    x = 10,025.21/93.76
  6. Step 6: Final answer
    x = 106.93

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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.