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Finding the Fourth Proportional to 117.12, 160.65 and 113.16

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Solution

The fourth proportional to 117.12, 160.65 and 113.16 is: 155.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    117.12 : 160.65 = 113.16 : x
  2. Step 2: Convert to fraction form
    117.12/160.65 = 113.16/x
  3. Step 3: Cross multiply
    117.12x = 160.65 × 113.16
  4. Step 4: Simplify right side
    117.12x = 18,179.15
  5. Step 5: Solve for x
    x = 18,179.15/117.12
  6. Step 6: Final answer
    x = 155.22

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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.