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Finding the Fourth Proportional to 111.63, 152.04 and 109.38

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Solution

The fourth proportional to 111.63, 152.04 and 109.38 is: 148.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    111.63 : 152.04 = 109.38 : x
  2. Step 2: Convert to fraction form
    111.63/152.04 = 109.38/x
  3. Step 3: Cross multiply
    111.63x = 152.04 × 109.38
  4. Step 4: Simplify right side
    111.63x = 16,630.14
  5. Step 5: Solve for x
    x = 16,630.14/111.63
  6. Step 6: Final answer
    x = 148.98

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These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.