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Finding the Fourth Proportional to 111.30, 152.55 and 109.78

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Solution

The fourth proportional to 111.30, 152.55 and 109.78 is: 150.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    111.30 : 152.55 = 109.78 : x
  2. Step 2: Convert to fraction form
    111.30/152.55 = 109.78/x
  3. Step 3: Cross multiply
    111.30x = 152.55 × 109.78
  4. Step 4: Simplify right side
    111.30x = 16,746.94
  5. Step 5: Solve for x
    x = 16,746.94/111.30
  6. Step 6: Final answer
    x = 150.47

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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.