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Finding the Fourth Proportional to 112.53, 167.76 and 103.89

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Solution

The fourth proportional to 112.53, 167.76 and 103.89 is: 154.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    112.53 : 167.76 = 103.89 : x
  2. Step 2: Convert to fraction form
    112.53/167.76 = 103.89/x
  3. Step 3: Cross multiply
    112.53x = 167.76 × 103.89
  4. Step 4: Simplify right side
    112.53x = 17,428.59
  5. Step 5: Solve for x
    x = 17,428.59/112.53
  6. Step 6: Final answer
    x = 154.88

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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.