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Finding the Fourth Proportional to 117.10, 160.67 and 110.35

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Solution

The fourth proportional to 117.10, 160.67 and 110.35 is: 151.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    117.10 : 160.67 = 110.35 : x
  2. Step 2: Convert to fraction form
    117.10/160.67 = 110.35/x
  3. Step 3: Cross multiply
    117.10x = 160.67 × 110.35
  4. Step 4: Simplify right side
    117.10x = 17,729.93
  5. Step 5: Solve for x
    x = 17,729.93/117.10
  6. Step 6: Final answer
    x = 151.41

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.