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Finding the Fourth Proportional to 156.72, 216.24 and 115.28

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Solution

The fourth proportional to 156.72, 216.24 and 115.28 is: 159.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    156.72 : 216.24 = 115.28 : x
  2. Step 2: Convert to fraction form
    156.72/216.24 = 115.28/x
  3. Step 3: Cross multiply
    156.72x = 216.24 × 115.28
  4. Step 4: Simplify right side
    156.72x = 24,928.15
  5. Step 5: Solve for x
    x = 24,928.15/156.72
  6. Step 6: Final answer
    x = 159.06

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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.