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Finding the Fourth Proportional to 101.65, 140.31 and 58

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Solution

The fourth proportional to 101.65, 140.31 and 58 is: 80.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    101.65 : 140.31 = 58 : x
  2. Step 2: Convert to fraction form
    101.65/140.31 = 58/x
  3. Step 3: Cross multiply
    101.65x = 140.31 × 58
  4. Step 4: Simplify right side
    101.65x = 8,137.98
  5. Step 5: Solve for x
    x = 8,137.98/101.65
  6. Step 6: Final answer
    x = 80.06

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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.