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Finding the Fourth Proportional to 93.70, 140.41 and 59.39

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Solution

The fourth proportional to 93.70, 140.41 and 59.39 is: 89.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    93.70 : 140.41 = 59.39 : x
  2. Step 2: Convert to fraction form
    93.70/140.41 = 59.39/x
  3. Step 3: Cross multiply
    93.70x = 140.41 × 59.39
  4. Step 4: Simplify right side
    93.70x = 8,338.95
  5. Step 5: Solve for x
    x = 8,338.95/93.70
  6. Step 6: Final answer
    x = 89.00

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.