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Finding the Fourth Proportional to 153.00, 211.15 and 86.62

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Solution

The fourth proportional to 153.00, 211.15 and 86.62 is: 119.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    153.00 : 211.15 = 86.62 : x
  2. Step 2: Convert to fraction form
    153.00/211.15 = 86.62/x
  3. Step 3: Cross multiply
    153.00x = 211.15 × 86.62
  4. Step 4: Simplify right side
    153.00x = 18,288.92
  5. Step 5: Solve for x
    x = 18,288.92/153.00
  6. Step 6: Final answer
    x = 119.54

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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.