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Finding the Fourth Proportional to 152.02, 209.78 and 86.51

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Solution

The fourth proportional to 152.02, 209.78 and 86.51 is: 119.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    152.02 : 209.78 = 86.51 : x
  2. Step 2: Convert to fraction form
    152.02/209.78 = 86.51/x
  3. Step 3: Cross multiply
    152.02x = 209.78 × 86.51
  4. Step 4: Simplify right side
    152.02x = 18,147.64
  5. Step 5: Solve for x
    x = 18,147.64/152.02
  6. Step 6: Final answer
    x = 119.38

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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.