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Finding the Fourth Proportional to 156.54, 234.85 and 65.19

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Solution

The fourth proportional to 156.54, 234.85 and 65.19 is: 97.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    156.54 : 234.85 = 65.19 : x
  2. Step 2: Convert to fraction form
    156.54/234.85 = 65.19/x
  3. Step 3: Cross multiply
    156.54x = 234.85 × 65.19
  4. Step 4: Simplify right side
    156.54x = 15,309.87
  5. Step 5: Solve for x
    x = 15,309.87/156.54
  6. Step 6: Final answer
    x = 97.80

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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.