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Finding the Fourth Proportional to 156.74, 216.30 and 86.82

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Solution

The fourth proportional to 156.74, 216.30 and 86.82 is: 119.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    156.74 : 216.30 = 86.82 : x
  2. Step 2: Convert to fraction form
    156.74/216.30 = 86.82/x
  3. Step 3: Cross multiply
    156.74x = 216.30 × 86.82
  4. Step 4: Simplify right side
    156.74x = 18,779.17
  5. Step 5: Solve for x
    x = 18,779.17/156.74
  6. Step 6: Final answer
    x = 119.81

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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.