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Finding the Fourth Proportional to 93.35, 128.82 and 54.02

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Solution

The fourth proportional to 93.35, 128.82 and 54.02 is: 74.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    93.35 : 128.82 = 54.02 : x
  2. Step 2: Convert to fraction form
    93.35/128.82 = 54.02/x
  3. Step 3: Cross multiply
    93.35x = 128.82 × 54.02
  4. Step 4: Simplify right side
    93.35x = 6,958.66
  5. Step 5: Solve for x
    x = 6,958.66/93.35
  6. Step 6: Final answer
    x = 74.54

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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.