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Finding the Fourth Proportional to 132.93, 183.50 and 77.68

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Solution

The fourth proportional to 132.93, 183.50 and 77.68 is: 107.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    132.93 : 183.50 = 77.68 : x
  2. Step 2: Convert to fraction form
    132.93/183.50 = 77.68/x
  3. Step 3: Cross multiply
    132.93x = 183.50 × 77.68
  4. Step 4: Simplify right side
    132.93x = 14,255.26
  5. Step 5: Solve for x
    x = 14,255.26/132.93
  6. Step 6: Final answer
    x = 107.24

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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.