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Finding the Fourth Proportional to 156.88, 235.62 and 96.13

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Solution

The fourth proportional to 156.88, 235.62 and 96.13 is: 144.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    156.88 : 235.62 = 96.13 : x
  2. Step 2: Convert to fraction form
    156.88/235.62 = 96.13/x
  3. Step 3: Cross multiply
    156.88x = 235.62 × 96.13
  4. Step 4: Simplify right side
    156.88x = 22,649.56
  5. Step 5: Solve for x
    x = 22,649.56/156.88
  6. Step 6: Final answer
    x = 144.38

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.