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Finding the Fourth Proportional to 112.83, 155.66 and 71.31

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Solution

The fourth proportional to 112.83, 155.66 and 71.31 is: 98.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    112.83 : 155.66 = 71.31 : x
  2. Step 2: Convert to fraction form
    112.83/155.66 = 71.31/x
  3. Step 3: Cross multiply
    112.83x = 155.66 × 71.31
  4. Step 4: Simplify right side
    112.83x = 11,098.98
  5. Step 5: Solve for x
    x = 11,098.98/112.83
  6. Step 6: Final answer
    x = 98.37

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.