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Finding the Fourth Proportional to 132.32, 183.59 and 125.64

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Solution

The fourth proportional to 132.32, 183.59 and 125.64 is: 174.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    132.32 : 183.59 = 125.64 : x
  2. Step 2: Convert to fraction form
    132.32/183.59 = 125.64/x
  3. Step 3: Cross multiply
    132.32x = 183.59 × 125.64
  4. Step 4: Simplify right side
    132.32x = 23,066.25
  5. Step 5: Solve for x
    x = 23,066.25/132.32
  6. Step 6: Final answer
    x = 174.32

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.