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Finding the Fourth Proportional to 117.83, 163.00 and 91.86

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Solution

The fourth proportional to 117.83, 163.00 and 91.86 is: 127.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    117.83 : 163.00 = 91.86 : x
  2. Step 2: Convert to fraction form
    117.83/163.00 = 91.86/x
  3. Step 3: Cross multiply
    117.83x = 163.00 × 91.86
  4. Step 4: Simplify right side
    117.83x = 14,972.72
  5. Step 5: Solve for x
    x = 14,972.72/117.83
  6. Step 6: Final answer
    x = 127.07

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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.