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Finding the Fourth Proportional to 132.90, 199.29 and 41.58

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Solution

The fourth proportional to 132.90, 199.29 and 41.58 is: 62.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    132.90 : 199.29 = 41.58 : x
  2. Step 2: Convert to fraction form
    132.90/199.29 = 41.58/x
  3. Step 3: Cross multiply
    132.90x = 199.29 × 41.58
  4. Step 4: Simplify right side
    132.90x = 8,286.48
  5. Step 5: Solve for x
    x = 8,286.48/132.90
  6. Step 6: Final answer
    x = 62.35

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.