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Finding the Fourth Proportional to 117.17, 160.87 and 114.16

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Solution

The fourth proportional to 117.17, 160.87 and 114.16 is: 156.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    117.17 : 160.87 = 114.16 : x
  2. Step 2: Convert to fraction form
    117.17/160.87 = 114.16/x
  3. Step 3: Cross multiply
    117.17x = 160.87 × 114.16
  4. Step 4: Simplify right side
    117.17x = 18,363.54
  5. Step 5: Solve for x
    x = 18,363.54/117.17
  6. Step 6: Final answer
    x = 156.73

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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.