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Finding the Fourth Proportional to 270.34, 405.53 and 87.69

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Solution

The fourth proportional to 270.34, 405.53 and 87.69 is: 131.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    270.34 : 405.53 = 87.69 : x
  2. Step 2: Convert to fraction form
    270.34/405.53 = 87.69/x
  3. Step 3: Cross multiply
    270.34x = 405.53 × 87.69
  4. Step 4: Simplify right side
    270.34x = 35,560.93
  5. Step 5: Solve for x
    x = 35,560.93/270.34
  6. Step 6: Final answer
    x = 131.54

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.