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Finding the Fourth Proportional to 101.47, 140.01 and 57.80

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Solution

The fourth proportional to 101.47, 140.01 and 57.80 is: 79.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    101.47 : 140.01 = 57.80 : x
  2. Step 2: Convert to fraction form
    101.47/140.01 = 57.80/x
  3. Step 3: Cross multiply
    101.47x = 140.01 × 57.80
  4. Step 4: Simplify right side
    101.47x = 8,092.25
  5. Step 5: Solve for x
    x = 8,092.25/101.47
  6. Step 6: Final answer
    x = 79.75

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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.