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Finding the Fourth Proportional to 117.04, 160.44 and 114.97

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Solution

The fourth proportional to 117.04, 160.44 and 114.97 is: 157.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    117.04 : 160.44 = 114.97 : x
  2. Step 2: Convert to fraction form
    117.04/160.44 = 114.97/x
  3. Step 3: Cross multiply
    117.04x = 160.44 × 114.97
  4. Step 4: Simplify right side
    117.04x = 18,445.79
  5. Step 5: Solve for x
    x = 18,445.79/117.04
  6. Step 6: Final answer
    x = 157.60

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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.