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Finding the Fourth Proportional to 132.48, 181.80 and 121.68

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Solution

The fourth proportional to 132.48, 181.80 and 121.68 is: 166.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    132.48 : 181.80 = 121.68 : x
  2. Step 2: Convert to fraction form
    132.48/181.80 = 121.68/x
  3. Step 3: Cross multiply
    132.48x = 181.80 × 121.68
  4. Step 4: Simplify right side
    132.48x = 22,121.42
  5. Step 5: Solve for x
    x = 22,121.42/132.48
  6. Step 6: Final answer
    x = 166.98

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.