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Finding the Fourth Proportional to 151.45, 208.98 and 89.28

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Solution

The fourth proportional to 151.45, 208.98 and 89.28 is: 123.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    151.45 : 208.98 = 89.28 : x
  2. Step 2: Convert to fraction form
    151.45/208.98 = 89.28/x
  3. Step 3: Cross multiply
    151.45x = 208.98 × 89.28
  4. Step 4: Simplify right side
    151.45x = 18,657.73
  5. Step 5: Solve for x
    x = 18,657.73/151.45
  6. Step 6: Final answer
    x = 123.19

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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.