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Finding the Fourth Proportional to 118.53, 176.70 and 109.89

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Solution

The fourth proportional to 118.53, 176.70 and 109.89 is: 163.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    118.53 : 176.70 = 109.89 : x
  2. Step 2: Convert to fraction form
    118.53/176.70 = 109.89/x
  3. Step 3: Cross multiply
    118.53x = 176.70 × 109.89
  4. Step 4: Simplify right side
    118.53x = 19,417.56
  5. Step 5: Solve for x
    x = 19,417.56/118.53
  6. Step 6: Final answer
    x = 163.82

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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.