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Finding the Fourth Proportional to 151.50, 209.05 and 89.35

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Solution

The fourth proportional to 151.50, 209.05 and 89.35 is: 123.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    151.50 : 209.05 = 89.35 : x
  2. Step 2: Convert to fraction form
    151.50/209.05 = 89.35/x
  3. Step 3: Cross multiply
    151.50x = 209.05 × 89.35
  4. Step 4: Simplify right side
    151.50x = 18,678.62
  5. Step 5: Solve for x
    x = 18,678.62/151.50
  6. Step 6: Final answer
    x = 123.29

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.