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Finding the Fourth Proportional to 101.50, 140.04 and 57.82

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Solution

The fourth proportional to 101.50, 140.04 and 57.82 is: 79.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    101.50 : 140.04 = 57.82 : x
  2. Step 2: Convert to fraction form
    101.50/140.04 = 57.82/x
  3. Step 3: Cross multiply
    101.50x = 140.04 × 57.82
  4. Step 4: Simplify right side
    101.50x = 8,097.11
  5. Step 5: Solve for x
    x = 8,097.11/101.50
  6. Step 6: Final answer
    x = 79.77

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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.