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Finding the Fourth Proportional to 93.54, 129.12 and 54.78

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Solution

The fourth proportional to 93.54, 129.12 and 54.78 is: 75.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    93.54 : 129.12 = 54.78 : x
  2. Step 2: Convert to fraction form
    93.54/129.12 = 54.78/x
  3. Step 3: Cross multiply
    93.54x = 129.12 × 54.78
  4. Step 4: Simplify right side
    93.54x = 7,073.19
  5. Step 5: Solve for x
    x = 7,073.19/93.54
  6. Step 6: Final answer
    x = 75.62

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.