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Finding the Fourth Proportional to 93.80, 129.57 and 75.17

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Solution

The fourth proportional to 93.80, 129.57 and 75.17 is: 103.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    93.80 : 129.57 = 75.17 : x
  2. Step 2: Convert to fraction form
    93.80/129.57 = 75.17/x
  3. Step 3: Cross multiply
    93.80x = 129.57 × 75.17
  4. Step 4: Simplify right side
    93.80x = 9,739.78
  5. Step 5: Solve for x
    x = 9,739.78/93.80
  6. Step 6: Final answer
    x = 103.84

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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.