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Finding the Fourth Proportional to 155.11, 232.86 and 78.16

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Solution

The fourth proportional to 155.11, 232.86 and 78.16 is: 117.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    155.11 : 232.86 = 78.16 : x
  2. Step 2: Convert to fraction form
    155.11/232.86 = 78.16/x
  3. Step 3: Cross multiply
    155.11x = 232.86 × 78.16
  4. Step 4: Simplify right side
    155.11x = 18,200.34
  5. Step 5: Solve for x
    x = 18,200.34/155.11
  6. Step 6: Final answer
    x = 117.34

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.