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Finding the Fourth Proportional to 101.83, 140.56 and 69.08

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Solution

The fourth proportional to 101.83, 140.56 and 69.08 is: 95.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    101.83 : 140.56 = 69.08 : x
  2. Step 2: Convert to fraction form
    101.83/140.56 = 69.08/x
  3. Step 3: Cross multiply
    101.83x = 140.56 × 69.08
  4. Step 4: Simplify right side
    101.83x = 9,709.88
  5. Step 5: Solve for x
    x = 9,709.88/101.83
  6. Step 6: Final answer
    x = 95.35

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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.