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Finding the Fourth Proportional to 101.37, 140.01 and 64.56

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Solution

The fourth proportional to 101.37, 140.01 and 64.56 is: 89.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    101.37 : 140.01 = 64.56 : x
  2. Step 2: Convert to fraction form
    101.37/140.01 = 64.56/x
  3. Step 3: Cross multiply
    101.37x = 140.01 × 64.56
  4. Step 4: Simplify right side
    101.37x = 9,039.05
  5. Step 5: Solve for x
    x = 9,039.05/101.37
  6. Step 6: Final answer
    x = 89.17

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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.