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Finding the Fourth Proportional to 101.77, 140.43 and 57.51

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Solution

The fourth proportional to 101.77, 140.43 and 57.51 is: 79.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    101.77 : 140.43 = 57.51 : x
  2. Step 2: Convert to fraction form
    101.77/140.43 = 57.51/x
  3. Step 3: Cross multiply
    101.77x = 140.43 × 57.51
  4. Step 4: Simplify right side
    101.77x = 8,076.13
  5. Step 5: Solve for x
    x = 8,076.13/101.77
  6. Step 6: Final answer
    x = 79.36

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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.