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Finding the Fourth Proportional to 132.42, 182.72 and 77.14

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Solution

The fourth proportional to 132.42, 182.72 and 77.14 is: 106.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    132.42 : 182.72 = 77.14 : x
  2. Step 2: Convert to fraction form
    132.42/182.72 = 77.14/x
  3. Step 3: Cross multiply
    132.42x = 182.72 × 77.14
  4. Step 4: Simplify right side
    132.42x = 14,094.41
  5. Step 5: Solve for x
    x = 14,094.41/132.42
  6. Step 6: Final answer
    x = 106.44

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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.