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Finding the Fourth Proportional to 117.75, 175.77 and 106.82

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Solution

The fourth proportional to 117.75, 175.77 and 106.82 is: 159.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    117.75 : 175.77 = 106.82 : x
  2. Step 2: Convert to fraction form
    117.75/175.77 = 106.82/x
  3. Step 3: Cross multiply
    117.75x = 175.77 × 106.82
  4. Step 4: Simplify right side
    117.75x = 18,775.53
  5. Step 5: Solve for x
    x = 18,775.53/117.75
  6. Step 6: Final answer
    x = 159.45

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.