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Finding the Fourth Proportional to 101.16, 139.40 and 76.56

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Solution

The fourth proportional to 101.16, 139.40 and 76.56 is: 105.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    101.16 : 139.40 = 76.56 : x
  2. Step 2: Convert to fraction form
    101.16/139.40 = 76.56/x
  3. Step 3: Cross multiply
    101.16x = 139.40 × 76.56
  4. Step 4: Simplify right side
    101.16x = 10,672.46
  5. Step 5: Solve for x
    x = 10,672.46/101.16
  6. Step 6: Final answer
    x = 105.50

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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.