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Finding the Fourth Proportional to 99.77, 137.69 and 72.23

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Solution

The fourth proportional to 99.77, 137.69 and 72.23 is: 99.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    99.77 : 137.69 = 72.23 : x
  2. Step 2: Convert to fraction form
    99.77/137.69 = 72.23/x
  3. Step 3: Cross multiply
    99.77x = 137.69 × 72.23
  4. Step 4: Simplify right side
    99.77x = 9,944.57
  5. Step 5: Solve for x
    x = 9,944.57/99.77
  6. Step 6: Final answer
    x = 99.68

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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.