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Finding the Fourth Proportional to 132.30, 181.58 and 118.40

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Solution

The fourth proportional to 132.30, 181.58 and 118.40 is: 162.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    132.30 : 181.58 = 118.40 : x
  2. Step 2: Convert to fraction form
    132.30/181.58 = 118.40/x
  3. Step 3: Cross multiply
    132.30x = 181.58 × 118.40
  4. Step 4: Simplify right side
    132.30x = 21,497.57
  5. Step 5: Solve for x
    x = 21,497.57/132.30
  6. Step 6: Final answer
    x = 162.49

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.