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Finding the Fourth Proportional to 132.96, 183.06 and 105.42

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Solution

The fourth proportional to 132.96, 183.06 and 105.42 is: 145.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    132.96 : 183.06 = 105.42 : x
  2. Step 2: Convert to fraction form
    132.96/183.06 = 105.42/x
  3. Step 3: Cross multiply
    132.96x = 183.06 × 105.42
  4. Step 4: Simplify right side
    132.96x = 19,298.19
  5. Step 5: Solve for x
    x = 19,298.19/132.96
  6. Step 6: Final answer
    x = 145.14

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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.