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Finding the Fourth Proportional to 99.20, 136.90 and 55.54

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Solution

The fourth proportional to 99.20, 136.90 and 55.54 is: 76.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    99.20 : 136.90 = 55.54 : x
  2. Step 2: Convert to fraction form
    99.20/136.90 = 55.54/x
  3. Step 3: Cross multiply
    99.20x = 136.90 × 55.54
  4. Step 4: Simplify right side
    99.20x = 7,602.94
  5. Step 5: Solve for x
    x = 7,602.94/99.20
  6. Step 6: Final answer
    x = 76.64

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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.