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Finding the Fourth Proportional to 98.93, 136.53 and 55.27

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Solution

The fourth proportional to 98.93, 136.53 and 55.27 is: 76.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    98.93 : 136.53 = 55.27 : x
  2. Step 2: Convert to fraction form
    98.93/136.53 = 55.27/x
  3. Step 3: Cross multiply
    98.93x = 136.53 × 55.27
  4. Step 4: Simplify right side
    98.93x = 7,545.26
  5. Step 5: Solve for x
    x = 7,545.26/98.93
  6. Step 6: Final answer
    x = 76.27

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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.