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Finding the Fourth Proportional to 132.76, 183.14 and 89.02

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Solution

The fourth proportional to 132.76, 183.14 and 89.02 is: 122.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    132.76 : 183.14 = 89.02 : x
  2. Step 2: Convert to fraction form
    132.76/183.14 = 89.02/x
  3. Step 3: Cross multiply
    132.76x = 183.14 × 89.02
  4. Step 4: Simplify right side
    132.76x = 16,301.96
  5. Step 5: Solve for x
    x = 16,301.96/132.76
  6. Step 6: Final answer
    x = 122.80

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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.