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Finding the Fourth Proportional to 101.10, 139.56 and 76.54

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Solution

The fourth proportional to 101.10, 139.56 and 76.54 is: 105.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    101.10 : 139.56 = 76.54 : x
  2. Step 2: Convert to fraction form
    101.10/139.56 = 76.54/x
  3. Step 3: Cross multiply
    101.10x = 139.56 × 76.54
  4. Step 4: Simplify right side
    101.10x = 10,681.92
  5. Step 5: Solve for x
    x = 10,681.92/101.10
  6. Step 6: Final answer
    x = 105.66

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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.