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Finding the Fourth Proportional to 174.07, 261.14 and 65.86

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Solution

The fourth proportional to 174.07, 261.14 and 65.86 is: 98.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    174.07 : 261.14 = 65.86 : x
  2. Step 2: Convert to fraction form
    174.07/261.14 = 65.86/x
  3. Step 3: Cross multiply
    174.07x = 261.14 × 65.86
  4. Step 4: Simplify right side
    174.07x = 17,198.68
  5. Step 5: Solve for x
    x = 17,198.68/174.07
  6. Step 6: Final answer
    x = 98.80

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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.