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Finding the Fourth Proportional to 152.06, 209.79 and 89.85

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Solution

The fourth proportional to 152.06, 209.79 and 89.85 is: 123.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    152.06 : 209.79 = 89.85 : x
  2. Step 2: Convert to fraction form
    152.06/209.79 = 89.85/x
  3. Step 3: Cross multiply
    152.06x = 209.79 × 89.85
  4. Step 4: Simplify right side
    152.06x = 18,849.63
  5. Step 5: Solve for x
    x = 18,849.63/152.06
  6. Step 6: Final answer
    x = 123.97

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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.