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Finding the Fourth Proportional to 152.69, 210.73 and 87.19

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Solution

The fourth proportional to 152.69, 210.73 and 87.19 is: 120.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    152.69 : 210.73 = 87.19 : x
  2. Step 2: Convert to fraction form
    152.69/210.73 = 87.19/x
  3. Step 3: Cross multiply
    152.69x = 210.73 × 87.19
  4. Step 4: Simplify right side
    152.69x = 18,372.80
  5. Step 5: Solve for x
    x = 18,372.80/152.69
  6. Step 6: Final answer
    x = 120.33

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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.