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Finding the Fourth Proportional to 93.78, 129.41 and 60.54

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Solution

The fourth proportional to 93.78, 129.41 and 60.54 is: 83.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    93.78 : 129.41 = 60.54 : x
  2. Step 2: Convert to fraction form
    93.78/129.41 = 60.54/x
  3. Step 3: Cross multiply
    93.78x = 129.41 × 60.54
  4. Step 4: Simplify right side
    93.78x = 7,834.50
  5. Step 5: Solve for x
    x = 7,834.50/93.78
  6. Step 6: Final answer
    x = 83.55

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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.