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Finding the Fourth Proportional to 117.34, 174.86 and 111.12

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Solution

The fourth proportional to 117.34, 174.86 and 111.12 is: 165.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    117.34 : 174.86 = 111.12 : x
  2. Step 2: Convert to fraction form
    117.34/174.86 = 111.12/x
  3. Step 3: Cross multiply
    117.34x = 174.86 × 111.12
  4. Step 4: Simplify right side
    117.34x = 19,430.44
  5. Step 5: Solve for x
    x = 19,430.44/117.34
  6. Step 6: Final answer
    x = 165.59

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.