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Finding the Fourth Proportional to 156.68, 235.01 and 83.71

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Solution

The fourth proportional to 156.68, 235.01 and 83.71 is: 125.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    156.68 : 235.01 = 83.71 : x
  2. Step 2: Convert to fraction form
    156.68/235.01 = 83.71/x
  3. Step 3: Cross multiply
    156.68x = 235.01 × 83.71
  4. Step 4: Simplify right side
    156.68x = 19,672.69
  5. Step 5: Solve for x
    x = 19,672.69/156.68
  6. Step 6: Final answer
    x = 125.56

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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.