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Finding the Fourth Proportional to 111.53, 167.54 and 106.54

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Solution

The fourth proportional to 111.53, 167.54 and 106.54 is: 160.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    111.53 : 167.54 = 106.54 : x
  2. Step 2: Convert to fraction form
    111.53/167.54 = 106.54/x
  3. Step 3: Cross multiply
    111.53x = 167.54 × 106.54
  4. Step 4: Simplify right side
    111.53x = 17,848.76
  5. Step 5: Solve for x
    x = 17,848.76/111.53
  6. Step 6: Final answer
    x = 160.03

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.