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Finding the Fourth Proportional to 101.83, 140.54 and 74.29

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Solution

The fourth proportional to 101.83, 140.54 and 74.29 is: 102.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    101.83 : 140.54 = 74.29 : x
  2. Step 2: Convert to fraction form
    101.83/140.54 = 74.29/x
  3. Step 3: Cross multiply
    101.83x = 140.54 × 74.29
  4. Step 4: Simplify right side
    101.83x = 10,440.72
  5. Step 5: Solve for x
    x = 10,440.72/101.83
  6. Step 6: Final answer
    x = 102.53

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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.