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Finding the Fourth Proportional to 117.89, 176.81 and 66.56

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Solution

The fourth proportional to 117.89, 176.81 and 66.56 is: 99.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    117.89 : 176.81 = 66.56 : x
  2. Step 2: Convert to fraction form
    117.89/176.81 = 66.56/x
  3. Step 3: Cross multiply
    117.89x = 176.81 × 66.56
  4. Step 4: Simplify right side
    117.89x = 11,767.26
  5. Step 5: Solve for x
    x = 11,767.26/117.89
  6. Step 6: Final answer
    x = 99.82

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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.