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Finding the Fourth Proportional to 156.49, 234.77 and 65.14

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Solution

The fourth proportional to 156.49, 234.77 and 65.14 is: 97.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    156.49 : 234.77 = 65.14 : x
  2. Step 2: Convert to fraction form
    156.49/234.77 = 65.14/x
  3. Step 3: Cross multiply
    156.49x = 234.77 × 65.14
  4. Step 4: Simplify right side
    156.49x = 15,292.01
  5. Step 5: Solve for x
    x = 15,292.01/156.49
  6. Step 6: Final answer
    x = 97.72

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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.