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Finding the Fourth Proportional to 152.05, 209.84 and 86.57

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Solution

The fourth proportional to 152.05, 209.84 and 86.57 is: 119.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    152.05 : 209.84 = 86.57 : x
  2. Step 2: Convert to fraction form
    152.05/209.84 = 86.57/x
  3. Step 3: Cross multiply
    152.05x = 209.84 × 86.57
  4. Step 4: Simplify right side
    152.05x = 18,164.37
  5. Step 5: Solve for x
    x = 18,164.37/152.05
  6. Step 6: Final answer
    x = 119.47

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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.