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Finding the Fourth Proportional to 156.98, 235.11 and 102.71

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Solution

The fourth proportional to 156.98, 235.11 and 102.71 is: 153.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    156.98 : 235.11 = 102.71 : x
  2. Step 2: Convert to fraction form
    156.98/235.11 = 102.71/x
  3. Step 3: Cross multiply
    156.98x = 235.11 × 102.71
  4. Step 4: Simplify right side
    156.98x = 24,146.97
  5. Step 5: Solve for x
    x = 24,146.97/156.98
  6. Step 6: Final answer
    x = 153.83

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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.