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Finding the Fourth Proportional to 117.78, 176.67 and 77.46

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Solution

The fourth proportional to 117.78, 176.67 and 77.46 is: 116.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    117.78 : 176.67 = 77.46 : x
  2. Step 2: Convert to fraction form
    117.78/176.67 = 77.46/x
  3. Step 3: Cross multiply
    117.78x = 176.67 × 77.46
  4. Step 4: Simplify right side
    117.78x = 13,684.09
  5. Step 5: Solve for x
    x = 13,684.09/117.78
  6. Step 6: Final answer
    x = 116.18

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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.