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Finding the Fourth Proportional to 156.53, 234.66 and 65.14

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Solution

The fourth proportional to 156.53, 234.66 and 65.14 is: 97.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    156.53 : 234.66 = 65.14 : x
  2. Step 2: Convert to fraction form
    156.53/234.66 = 65.14/x
  3. Step 3: Cross multiply
    156.53x = 234.66 × 65.14
  4. Step 4: Simplify right side
    156.53x = 15,285.41
  5. Step 5: Solve for x
    x = 15,285.41/156.53
  6. Step 6: Final answer
    x = 97.65

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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.