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Finding the Fourth Proportional to 132.42, 182.73 and 77.16

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Solution

The fourth proportional to 132.42, 182.73 and 77.16 is: 106.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    132.42 : 182.73 = 77.16 : x
  2. Step 2: Convert to fraction form
    132.42/182.73 = 77.16/x
  3. Step 3: Cross multiply
    132.42x = 182.73 × 77.16
  4. Step 4: Simplify right side
    132.42x = 14,099.45
  5. Step 5: Solve for x
    x = 14,099.45/132.42
  6. Step 6: Final answer
    x = 106.48

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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.