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Finding the Fourth Proportional to 101.93, 140.71 and 72.45

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Solution

The fourth proportional to 101.93, 140.71 and 72.45 is: 100.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    101.93 : 140.71 = 72.45 : x
  2. Step 2: Convert to fraction form
    101.93/140.71 = 72.45/x
  3. Step 3: Cross multiply
    101.93x = 140.71 × 72.45
  4. Step 4: Simplify right side
    101.93x = 10,194.44
  5. Step 5: Solve for x
    x = 10,194.44/101.93
  6. Step 6: Final answer
    x = 100.01

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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.