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Finding the Fourth Proportional to 99.45, 137.25 and 55.20

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Solution

The fourth proportional to 99.45, 137.25 and 55.20 is: 76.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    99.45 : 137.25 = 55.20 : x
  2. Step 2: Convert to fraction form
    99.45/137.25 = 55.20/x
  3. Step 3: Cross multiply
    99.45x = 137.25 × 55.20
  4. Step 4: Simplify right side
    99.45x = 7,575.65
  5. Step 5: Solve for x
    x = 7,575.65/99.45
  6. Step 6: Final answer
    x = 76.17

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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.