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Finding the Fourth Proportional to 156.32, 234.46 and 65.06

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Solution

The fourth proportional to 156.32, 234.46 and 65.06 is: 97.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    156.32 : 234.46 = 65.06 : x
  2. Step 2: Convert to fraction form
    156.32/234.46 = 65.06/x
  3. Step 3: Cross multiply
    156.32x = 234.46 × 65.06
  4. Step 4: Simplify right side
    156.32x = 15,253.97
  5. Step 5: Solve for x
    x = 15,253.97/156.32
  6. Step 6: Final answer
    x = 97.58

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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.