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Finding the Fourth Proportional to 101.10, 139.49 and 59.08

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Solution

The fourth proportional to 101.10, 139.49 and 59.08 is: 81.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    101.10 : 139.49 = 59.08 : x
  2. Step 2: Convert to fraction form
    101.10/139.49 = 59.08/x
  3. Step 3: Cross multiply
    101.10x = 139.49 × 59.08
  4. Step 4: Simplify right side
    101.10x = 8,241.07
  5. Step 5: Solve for x
    x = 8,241.07/101.10
  6. Step 6: Final answer
    x = 81.51

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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.