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Finding the Fourth Proportional to 112.20, 167.67 and 101.40

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Solution

The fourth proportional to 112.20, 167.67 and 101.40 is: 151.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    112.20 : 167.67 = 101.40 : x
  2. Step 2: Convert to fraction form
    112.20/167.67 = 101.40/x
  3. Step 3: Cross multiply
    112.20x = 167.67 × 101.40
  4. Step 4: Simplify right side
    112.20x = 17,001.74
  5. Step 5: Solve for x
    x = 17,001.74/112.20
  6. Step 6: Final answer
    x = 151.53

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.