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Finding the Fourth Proportional to 93.64, 129.21 and 54.82

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Solution

The fourth proportional to 93.64, 129.21 and 54.82 is: 75.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    93.64 : 129.21 = 54.82 : x
  2. Step 2: Convert to fraction form
    93.64/129.21 = 54.82/x
  3. Step 3: Cross multiply
    93.64x = 129.21 × 54.82
  4. Step 4: Simplify right side
    93.64x = 7,083.29
  5. Step 5: Solve for x
    x = 7,083.29/93.64
  6. Step 6: Final answer
    x = 75.64

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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.