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Finding the Fourth Proportional to 111.29, 153.65 and 78.15

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Solution

The fourth proportional to 111.29, 153.65 and 78.15 is: 107.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    111.29 : 153.65 = 78.15 : x
  2. Step 2: Convert to fraction form
    111.29/153.65 = 78.15/x
  3. Step 3: Cross multiply
    111.29x = 153.65 × 78.15
  4. Step 4: Simplify right side
    111.29x = 12,007.36
  5. Step 5: Solve for x
    x = 12,007.36/111.29
  6. Step 6: Final answer
    x = 107.90

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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.