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Finding the Fourth Proportional to 152.01, 209.57 and 125.69

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Solution

The fourth proportional to 152.01, 209.57 and 125.69 is: 173.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    152.01 : 209.57 = 125.69 : x
  2. Step 2: Convert to fraction form
    152.01/209.57 = 125.69/x
  3. Step 3: Cross multiply
    152.01x = 209.57 × 125.69
  4. Step 4: Simplify right side
    152.01x = 26,339.88
  5. Step 5: Solve for x
    x = 26,339.88/152.01
  6. Step 6: Final answer
    x = 173.28

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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.