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Finding the Fourth Proportional to 152, 209.75 and 89.82

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Solution

The fourth proportional to 152, 209.75 and 89.82 is: 123.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    152 : 209.75 = 89.82 : x
  2. Step 2: Convert to fraction form
    152/209.75 = 89.82/x
  3. Step 3: Cross multiply
    152x = 209.75 × 89.82
  4. Step 4: Simplify right side
    152x = 18,839.75
  5. Step 5: Solve for x
    x = 18,839.75/152
  6. Step 6: Final answer
    x = 123.95

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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.