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Finding the Fourth Proportional to 151.36, 208.80 and 89.20

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Solution

The fourth proportional to 151.36, 208.80 and 89.20 is: 123.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    151.36 : 208.80 = 89.20 : x
  2. Step 2: Convert to fraction form
    151.36/208.80 = 89.20/x
  3. Step 3: Cross multiply
    151.36x = 208.80 × 89.20
  4. Step 4: Simplify right side
    151.36x = 18,624.96
  5. Step 5: Solve for x
    x = 18,624.96/151.36
  6. Step 6: Final answer
    x = 123.05

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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.