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Finding the Fourth Proportional to 156.56, 234.76 and 65.28

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Solution

The fourth proportional to 156.56, 234.76 and 65.28 is: 97.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    156.56 : 234.76 = 65.28 : x
  2. Step 2: Convert to fraction form
    156.56/234.76 = 65.28/x
  3. Step 3: Cross multiply
    156.56x = 234.76 × 65.28
  4. Step 4: Simplify right side
    156.56x = 15,325.13
  5. Step 5: Solve for x
    x = 15,325.13/156.56
  6. Step 6: Final answer
    x = 97.89

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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.