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Finding the Fourth Proportional to 132.84, 183.12 and 106.58

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Solution

The fourth proportional to 132.84, 183.12 and 106.58 is: 146.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    132.84 : 183.12 = 106.58 : x
  2. Step 2: Convert to fraction form
    132.84/183.12 = 106.58/x
  3. Step 3: Cross multiply
    132.84x = 183.12 × 106.58
  4. Step 4: Simplify right side
    132.84x = 19,516.01
  5. Step 5: Solve for x
    x = 19,516.01/132.84
  6. Step 6: Final answer
    x = 146.91

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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.