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Finding the Fourth Proportional to 132.04, 182.38 and 127.79

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Solution

The fourth proportional to 132.04, 182.38 and 127.79 is: 176.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    132.04 : 182.38 = 127.79 : x
  2. Step 2: Convert to fraction form
    132.04/182.38 = 127.79/x
  3. Step 3: Cross multiply
    132.04x = 182.38 × 127.79
  4. Step 4: Simplify right side
    132.04x = 23,305.11
  5. Step 5: Solve for x
    x = 23,305.11/132.04
  6. Step 6: Final answer
    x = 176.50

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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.