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Finding the Fourth Proportional to 151.23, 208.40 and 98.72

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Solution

The fourth proportional to 151.23, 208.40 and 98.72 is: 136.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    151.23 : 208.40 = 98.72 : x
  2. Step 2: Convert to fraction form
    151.23/208.40 = 98.72/x
  3. Step 3: Cross multiply
    151.23x = 208.40 × 98.72
  4. Step 4: Simplify right side
    151.23x = 20,571.71
  5. Step 5: Solve for x
    x = 20,571.71/151.23
  6. Step 6: Final answer
    x = 136.03

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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.