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Finding the Fourth Proportional to 132.56, 183.12 and 106.64

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Solution

The fourth proportional to 132.56, 183.12 and 106.64 is: 147.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    132.56 : 183.12 = 106.64 : x
  2. Step 2: Convert to fraction form
    132.56/183.12 = 106.64/x
  3. Step 3: Cross multiply
    132.56x = 183.12 × 106.64
  4. Step 4: Simplify right side
    132.56x = 19,527.92
  5. Step 5: Solve for x
    x = 19,527.92/132.56
  6. Step 6: Final answer
    x = 147.31

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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.