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Finding the Fourth Proportional to 101.23, 139.64 and 76.63

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Solution

The fourth proportional to 101.23, 139.64 and 76.63 is: 105.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    101.23 : 139.64 = 76.63 : x
  2. Step 2: Convert to fraction form
    101.23/139.64 = 76.63/x
  3. Step 3: Cross multiply
    101.23x = 139.64 × 76.63
  4. Step 4: Simplify right side
    101.23x = 10,700.57
  5. Step 5: Solve for x
    x = 10,700.57/101.23
  6. Step 6: Final answer
    x = 105.70

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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.