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Finding the Fourth Proportional to 101.57, 140.07 and 64.22

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Solution

The fourth proportional to 101.57, 140.07 and 64.22 is: 88.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    101.57 : 140.07 = 64.22 : x
  2. Step 2: Convert to fraction form
    101.57/140.07 = 64.22/x
  3. Step 3: Cross multiply
    101.57x = 140.07 × 64.22
  4. Step 4: Simplify right side
    101.57x = 8,995.30
  5. Step 5: Solve for x
    x = 8,995.30/101.57
  6. Step 6: Final answer
    x = 88.57

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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.