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Finding the Fourth Proportional to 156.10, 234.02 and 75.04

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Solution

The fourth proportional to 156.10, 234.02 and 75.04 is: 112.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    156.10 : 234.02 = 75.04 : x
  2. Step 2: Convert to fraction form
    156.10/234.02 = 75.04/x
  3. Step 3: Cross multiply
    156.10x = 234.02 × 75.04
  4. Step 4: Simplify right side
    156.10x = 17,560.86
  5. Step 5: Solve for x
    x = 17,560.86/156.10
  6. Step 6: Final answer
    x = 112.50

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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.