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Finding the Fourth Proportional to 99.36, 137.11 and 55.69

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Solution

The fourth proportional to 99.36, 137.11 and 55.69 is: 76.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    99.36 : 137.11 = 55.69 : x
  2. Step 2: Convert to fraction form
    99.36/137.11 = 55.69/x
  3. Step 3: Cross multiply
    99.36x = 137.11 × 55.69
  4. Step 4: Simplify right side
    99.36x = 7,635.28
  5. Step 5: Solve for x
    x = 7,635.28/99.36
  6. Step 6: Final answer
    x = 76.84

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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.