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Finding the Fourth Proportional to 101.78, 140.33 and 75.51

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Solution

The fourth proportional to 101.78, 140.33 and 75.51 is: 104.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    101.78 : 140.33 = 75.51 : x
  2. Step 2: Convert to fraction form
    101.78/140.33 = 75.51/x
  3. Step 3: Cross multiply
    101.78x = 140.33 × 75.51
  4. Step 4: Simplify right side
    101.78x = 10,595.94
  5. Step 5: Solve for x
    x = 10,595.94/101.78
  6. Step 6: Final answer
    x = 104.11

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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.