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Finding the Fourth Proportional to 98.76, 136.28 and 55.09

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Solution

The fourth proportional to 98.76, 136.28 and 55.09 is: 76.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    98.76 : 136.28 = 55.09 : x
  2. Step 2: Convert to fraction form
    98.76/136.28 = 55.09/x
  3. Step 3: Cross multiply
    98.76x = 136.28 × 55.09
  4. Step 4: Simplify right side
    98.76x = 7,507.67
  5. Step 5: Solve for x
    x = 7,507.67/98.76
  6. Step 6: Final answer
    x = 76.02

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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.