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Finding the Fourth Proportional to 156.42, 234.63 and 102.24

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Solution

The fourth proportional to 156.42, 234.63 and 102.24 is: 153.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    156.42 : 234.63 = 102.24 : x
  2. Step 2: Convert to fraction form
    156.42/234.63 = 102.24/x
  3. Step 3: Cross multiply
    156.42x = 234.63 × 102.24
  4. Step 4: Simplify right side
    156.42x = 23,988.57
  5. Step 5: Solve for x
    x = 23,988.57/156.42
  6. Step 6: Final answer
    x = 153.36

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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.