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Finding the Fourth Proportional to 151.02, 208.44 and 98.57

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Solution

The fourth proportional to 151.02, 208.44 and 98.57 is: 136.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    151.02 : 208.44 = 98.57 : x
  2. Step 2: Convert to fraction form
    151.02/208.44 = 98.57/x
  3. Step 3: Cross multiply
    151.02x = 208.44 × 98.57
  4. Step 4: Simplify right side
    151.02x = 20,545.93
  5. Step 5: Solve for x
    x = 20,545.93/151.02
  6. Step 6: Final answer
    x = 136.05

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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.