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Finding the Fourth Proportional to 117.82, 176.55 and 77.30

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Solution

The fourth proportional to 117.82, 176.55 and 77.30 is: 115.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    117.82 : 176.55 = 77.30 : x
  2. Step 2: Convert to fraction form
    117.82/176.55 = 77.30/x
  3. Step 3: Cross multiply
    117.82x = 176.55 × 77.30
  4. Step 4: Simplify right side
    117.82x = 13,647.32
  5. Step 5: Solve for x
    x = 13,647.32/117.82
  6. Step 6: Final answer
    x = 115.83

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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.