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Finding the Fourth Proportional to 132.06, 182.30 and 99.32

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Solution

The fourth proportional to 132.06, 182.30 and 99.32 is: 137.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    132.06 : 182.30 = 99.32 : x
  2. Step 2: Convert to fraction form
    132.06/182.30 = 99.32/x
  3. Step 3: Cross multiply
    132.06x = 182.30 × 99.32
  4. Step 4: Simplify right side
    132.06x = 18,106.04
  5. Step 5: Solve for x
    x = 18,106.04/132.06
  6. Step 6: Final answer
    x = 137.10

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.