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Finding the Fourth Proportional to 101.83, 140.54 and 72.31

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Solution

The fourth proportional to 101.83, 140.54 and 72.31 is: 99.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    101.83 : 140.54 = 72.31 : x
  2. Step 2: Convert to fraction form
    101.83/140.54 = 72.31/x
  3. Step 3: Cross multiply
    101.83x = 140.54 × 72.31
  4. Step 4: Simplify right side
    101.83x = 10,162.45
  5. Step 5: Solve for x
    x = 10,162.45/101.83
  6. Step 6: Final answer
    x = 99.80

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.