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Finding the Fourth Proportional to 93.70, 129.38 and 75.41

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Solution

The fourth proportional to 93.70, 129.38 and 75.41 is: 104.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    93.70 : 129.38 = 75.41 : x
  2. Step 2: Convert to fraction form
    93.70/129.38 = 75.41/x
  3. Step 3: Cross multiply
    93.70x = 129.38 × 75.41
  4. Step 4: Simplify right side
    93.70x = 9,756.55
  5. Step 5: Solve for x
    x = 9,756.55/93.70
  6. Step 6: Final answer
    x = 104.13

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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.