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Finding the Fourth Proportional to 132.21, 198.14 and 59.93

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Solution

The fourth proportional to 132.21, 198.14 and 59.93 is: 89.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    132.21 : 198.14 = 59.93 : x
  2. Step 2: Convert to fraction form
    132.21/198.14 = 59.93/x
  3. Step 3: Cross multiply
    132.21x = 198.14 × 59.93
  4. Step 4: Simplify right side
    132.21x = 11,873.24
  5. Step 5: Solve for x
    x = 11,873.24/132.21
  6. Step 6: Final answer
    x = 89.81

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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.