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Finding the Fourth Proportional to 117.78, 176.66 and 31.11

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Solution

The fourth proportional to 117.78, 176.66 and 31.11 is: 46.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    117.78 : 176.66 = 31.11 : x
  2. Step 2: Convert to fraction form
    117.78/176.66 = 31.11/x
  3. Step 3: Cross multiply
    117.78x = 176.66 × 31.11
  4. Step 4: Simplify right side
    117.78x = 5,495.74
  5. Step 5: Solve for x
    x = 5,495.74/117.78
  6. Step 6: Final answer
    x = 46.66

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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.