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Finding the Fourth Proportional to 111.51, 153.81 and 109.71

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Solution

The fourth proportional to 111.51, 153.81 and 109.71 is: 151.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    111.51 : 153.81 = 109.71 : x
  2. Step 2: Convert to fraction form
    111.51/153.81 = 109.71/x
  3. Step 3: Cross multiply
    111.51x = 153.81 × 109.71
  4. Step 4: Simplify right side
    111.51x = 16,874.50
  5. Step 5: Solve for x
    x = 16,874.50/111.51
  6. Step 6: Final answer
    x = 151.33

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.