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Finding the Fourth Proportional to 156.46, 234.77 and 65.13

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Solution

The fourth proportional to 156.46, 234.77 and 65.13 is: 97.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    156.46 : 234.77 = 65.13 : x
  2. Step 2: Convert to fraction form
    156.46/234.77 = 65.13/x
  3. Step 3: Cross multiply
    156.46x = 234.77 × 65.13
  4. Step 4: Simplify right side
    156.46x = 15,290.57
  5. Step 5: Solve for x
    x = 15,290.57/156.46
  6. Step 6: Final answer
    x = 97.73

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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.