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Finding the Fourth Proportional to 117.85, 176.91 and 74.51

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Solution

The fourth proportional to 117.85, 176.91 and 74.51 is: 111.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    117.85 : 176.91 = 74.51 : x
  2. Step 2: Convert to fraction form
    117.85/176.91 = 74.51/x
  3. Step 3: Cross multiply
    117.85x = 176.91 × 74.51
  4. Step 4: Simplify right side
    117.85x = 13,181.56
  5. Step 5: Solve for x
    x = 13,181.56/117.85
  6. Step 6: Final answer
    x = 111.85

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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.