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Finding the Fourth Proportional to 101.57, 140.14 and 64.78

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Solution

The fourth proportional to 101.57, 140.14 and 64.78 is: 89.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    101.57 : 140.14 = 64.78 : x
  2. Step 2: Convert to fraction form
    101.57/140.14 = 64.78/x
  3. Step 3: Cross multiply
    101.57x = 140.14 × 64.78
  4. Step 4: Simplify right side
    101.57x = 9,077.24
  5. Step 5: Solve for x
    x = 9,077.24/101.57
  6. Step 6: Final answer
    x = 89.37

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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.