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Finding the Fourth Proportional to 117.75, 176.51 and 49.31

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Solution

The fourth proportional to 117.75, 176.51 and 49.31 is: 73.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    117.75 : 176.51 = 49.31 : x
  2. Step 2: Convert to fraction form
    117.75/176.51 = 49.31/x
  3. Step 3: Cross multiply
    117.75x = 176.51 × 49.31
  4. Step 4: Simplify right side
    117.75x = 8,703.46
  5. Step 5: Solve for x
    x = 8,703.46/117.75
  6. Step 6: Final answer
    x = 73.91

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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.