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Finding the Fourth Proportional to 112, 167.56 and 71.32

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Solution

The fourth proportional to 112, 167.56 and 71.32 is: 106.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    112 : 167.56 = 71.32 : x
  2. Step 2: Convert to fraction form
    112/167.56 = 71.32/x
  3. Step 3: Cross multiply
    112x = 167.56 × 71.32
  4. Step 4: Simplify right side
    112x = 11,950.38
  5. Step 5: Solve for x
    x = 11,950.38/112
  6. Step 6: Final answer
    x = 106.70

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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.