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Finding the Fourth Proportional to 117.45, 160.67 and 116.91

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Solution

The fourth proportional to 117.45, 160.67 and 116.91 is: 159.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    117.45 : 160.67 = 116.91 : x
  2. Step 2: Convert to fraction form
    117.45/160.67 = 116.91/x
  3. Step 3: Cross multiply
    117.45x = 160.67 × 116.91
  4. Step 4: Simplify right side
    117.45x = 18,784.22
  5. Step 5: Solve for x
    x = 18,784.22/117.45
  6. Step 6: Final answer
    x = 159.93

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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.