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Finding the Fourth Proportional to 117.05, 176.36 and 106.23

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Solution

The fourth proportional to 117.05, 176.36 and 106.23 is: 160.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    117.05 : 176.36 = 106.23 : x
  2. Step 2: Convert to fraction form
    117.05/176.36 = 106.23/x
  3. Step 3: Cross multiply
    117.05x = 176.36 × 106.23
  4. Step 4: Simplify right side
    117.05x = 18,734.99
  5. Step 5: Solve for x
    x = 18,734.99/117.05
  6. Step 6: Final answer
    x = 160.06

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.