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Finding the Fourth Proportional to 111.04, 152.36 and 106.72

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Solution

The fourth proportional to 111.04, 152.36 and 106.72 is: 146.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    111.04 : 152.36 = 106.72 : x
  2. Step 2: Convert to fraction form
    111.04/152.36 = 106.72/x
  3. Step 3: Cross multiply
    111.04x = 152.36 × 106.72
  4. Step 4: Simplify right side
    111.04x = 16,259.86
  5. Step 5: Solve for x
    x = 16,259.86/111.04
  6. Step 6: Final answer
    x = 146.43

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.