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Finding the Fourth Proportional to 117.21, 175.82 and 65.82

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Solution

The fourth proportional to 117.21, 175.82 and 65.82 is: 98.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    117.21 : 175.82 = 65.82 : x
  2. Step 2: Convert to fraction form
    117.21/175.82 = 65.82/x
  3. Step 3: Cross multiply
    117.21x = 175.82 × 65.82
  4. Step 4: Simplify right side
    117.21x = 11,572.14
  5. Step 5: Solve for x
    x = 11,572.14/117.21
  6. Step 6: Final answer
    x = 98.73

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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.