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Finding the Fourth Proportional to 117.66, 176.81 and 72.14

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Solution

The fourth proportional to 117.66, 176.81 and 72.14 is: 108.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    117.66 : 176.81 = 72.14 : x
  2. Step 2: Convert to fraction form
    117.66/176.81 = 72.14/x
  3. Step 3: Cross multiply
    117.66x = 176.81 × 72.14
  4. Step 4: Simplify right side
    117.66x = 12,755.07
  5. Step 5: Solve for x
    x = 12,755.07/117.66
  6. Step 6: Final answer
    x = 108.41

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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.