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Finding the Fourth Proportional to 132.06, 182.25 and 73.84

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Solution

The fourth proportional to 132.06, 182.25 and 73.84 is: 101.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    132.06 : 182.25 = 73.84 : x
  2. Step 2: Convert to fraction form
    132.06/182.25 = 73.84/x
  3. Step 3: Cross multiply
    132.06x = 182.25 × 73.84
  4. Step 4: Simplify right side
    132.06x = 13,457.34
  5. Step 5: Solve for x
    x = 13,457.34/132.06
  6. Step 6: Final answer
    x = 101.90

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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.