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Finding the Fourth Proportional to 156.50, 234.80 and 65.14

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Solution

The fourth proportional to 156.50, 234.80 and 65.14 is: 97.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    156.50 : 234.80 = 65.14 : x
  2. Step 2: Convert to fraction form
    156.50/234.80 = 65.14/x
  3. Step 3: Cross multiply
    156.50x = 234.80 × 65.14
  4. Step 4: Simplify right side
    156.50x = 15,294.20
  5. Step 5: Solve for x
    x = 15,294.20/156.50
  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.