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Finding the Fourth Proportional to 156.36, 234.46 and 48.14

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Solution

The fourth proportional to 156.36, 234.46 and 48.14 is: 72.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    156.36 : 234.46 = 48.14 : x
  2. Step 2: Convert to fraction form
    156.36/234.46 = 48.14/x
  3. Step 3: Cross multiply
    156.36x = 234.46 × 48.14
  4. Step 4: Simplify right side
    156.36x = 11,286.90
  5. Step 5: Solve for x
    x = 11,286.90/156.36
  6. Step 6: Final answer
    x = 72.19

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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.