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Finding the Fourth Proportional to 156.96, 216.63 and 120.24

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Solution

The fourth proportional to 156.96, 216.63 and 120.24 is: 165.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    156.96 : 216.63 = 120.24 : x
  2. Step 2: Convert to fraction form
    156.96/216.63 = 120.24/x
  3. Step 3: Cross multiply
    156.96x = 216.63 × 120.24
  4. Step 4: Simplify right side
    156.96x = 26,047.59
  5. Step 5: Solve for x
    x = 26,047.59/156.96
  6. Step 6: Final answer
    x = 165.95

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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.