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Finding the Fourth Proportional to 156.74, 215.82 and 132.12

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Solution

The fourth proportional to 156.74, 215.82 and 132.12 is: 181.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    156.74 : 215.82 = 132.12 : x
  2. Step 2: Convert to fraction form
    156.74/215.82 = 132.12/x
  3. Step 3: Cross multiply
    156.74x = 215.82 × 132.12
  4. Step 4: Simplify right side
    156.74x = 28,514.14
  5. Step 5: Solve for x
    x = 28,514.14/156.74
  6. Step 6: Final answer
    x = 181.92

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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.