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Finding the Fourth Proportional to 132.10, 181.65 and 128.05

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Solution

The fourth proportional to 132.10, 181.65 and 128.05 is: 176.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    132.10 : 181.65 = 128.05 : x
  2. Step 2: Convert to fraction form
    132.10/181.65 = 128.05/x
  3. Step 3: Cross multiply
    132.10x = 181.65 × 128.05
  4. Step 4: Simplify right side
    132.10x = 23,260.28
  5. Step 5: Solve for x
    x = 23,260.28/132.10
  6. Step 6: Final answer
    x = 176.08

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.