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Finding the Fourth Proportional to 93.54, 129 and 75.09

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Solution

The fourth proportional to 93.54, 129 and 75.09 is: 103.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    93.54 : 129 = 75.09 : x
  2. Step 2: Convert to fraction form
    93.54/129 = 75.09/x
  3. Step 3: Cross multiply
    93.54x = 129 × 75.09
  4. Step 4: Simplify right side
    93.54x = 9,686.61
  5. Step 5: Solve for x
    x = 9,686.61/93.54
  6. Step 6: Final answer
    x = 103.56

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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.