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Finding the Fourth Proportional to 129.36, 177.75 and 106.01

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Solution

The fourth proportional to 129.36, 177.75 and 106.01 is: 145.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    129.36 : 177.75 = 106.01 : x
  2. Step 2: Convert to fraction form
    129.36/177.75 = 106.01/x
  3. Step 3: Cross multiply
    129.36x = 177.75 × 106.01
  4. Step 4: Simplify right side
    129.36x = 18,842.39
  5. Step 5: Solve for x
    x = 18,842.39/129.36
  6. Step 6: Final answer
    x = 145.66

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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.