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Finding the Fourth Proportional to 93.62, 129.16 and 66

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Solution

The fourth proportional to 93.62, 129.16 and 66 is: 91.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    93.62 : 129.16 = 66 : x
  2. Step 2: Convert to fraction form
    93.62/129.16 = 66/x
  3. Step 3: Cross multiply
    93.62x = 129.16 × 66
  4. Step 4: Simplify right side
    93.62x = 8,524.56
  5. Step 5: Solve for x
    x = 8,524.56/93.62
  6. Step 6: Final answer
    x = 91.05

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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.