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Finding the Fourth Proportional to 117.62, 176.35 and 49.12

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Solution

The fourth proportional to 117.62, 176.35 and 49.12 is: 73.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    117.62 : 176.35 = 49.12 : x
  2. Step 2: Convert to fraction form
    117.62/176.35 = 49.12/x
  3. Step 3: Cross multiply
    117.62x = 176.35 × 49.12
  4. Step 4: Simplify right side
    117.62x = 8,662.97
  5. Step 5: Solve for x
    x = 8,662.97/117.62
  6. Step 6: Final answer
    x = 73.65

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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.