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Finding the Fourth Proportional to 132.16, 182.38 and 76.90

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Solution

The fourth proportional to 132.16, 182.38 and 76.90 is: 106.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    132.16 : 182.38 = 76.90 : x
  2. Step 2: Convert to fraction form
    132.16/182.38 = 76.90/x
  3. Step 3: Cross multiply
    132.16x = 182.38 × 76.90
  4. Step 4: Simplify right side
    132.16x = 14,024.18
  5. Step 5: Solve for x
    x = 14,024.18/132.16
  6. Step 6: Final answer
    x = 106.11

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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.