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Finding the Fourth Proportional to 111.71, 154.15 and 78.52

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Solution

The fourth proportional to 111.71, 154.15 and 78.52 is: 108.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    111.71 : 154.15 = 78.52 : x
  2. Step 2: Convert to fraction form
    111.71/154.15 = 78.52/x
  3. Step 3: Cross multiply
    111.71x = 154.15 × 78.52
  4. Step 4: Simplify right side
    111.71x = 12,104.01
  5. Step 5: Solve for x
    x = 12,104.01/111.71
  6. Step 6: Final answer
    x = 108.35

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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.