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Finding the Fourth Proportional to 117.84, 176.72 and 81.84

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Solution

The fourth proportional to 117.84, 176.72 and 81.84 is: 122.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    117.84 : 176.72 = 81.84 : x
  2. Step 2: Convert to fraction form
    117.84/176.72 = 81.84/x
  3. Step 3: Cross multiply
    117.84x = 176.72 × 81.84
  4. Step 4: Simplify right side
    117.84x = 14,462.76
  5. Step 5: Solve for x
    x = 14,462.76/117.84
  6. Step 6: Final answer
    x = 122.73

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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.