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Finding the Fourth Proportional to 98.96, 136.56 and 55.31

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Solution

The fourth proportional to 98.96, 136.56 and 55.31 is: 76.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    98.96 : 136.56 = 55.31 : x
  2. Step 2: Convert to fraction form
    98.96/136.56 = 55.31/x
  3. Step 3: Cross multiply
    98.96x = 136.56 × 55.31
  4. Step 4: Simplify right side
    98.96x = 7,552.45
  5. Step 5: Solve for x
    x = 7,552.45/98.96
  6. Step 6: Final answer
    x = 76.32

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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.