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Finding the Fourth Proportional to 93.66, 129.42 and 75.21

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Solution

The fourth proportional to 93.66, 129.42 and 75.21 is: 103.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    93.66 : 129.42 = 75.21 : x
  2. Step 2: Convert to fraction form
    93.66/129.42 = 75.21/x
  3. Step 3: Cross multiply
    93.66x = 129.42 × 75.21
  4. Step 4: Simplify right side
    93.66x = 9,733.68
  5. Step 5: Solve for x
    x = 9,733.68/93.66
  6. Step 6: Final answer
    x = 103.93

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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.