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Finding the Fourth Proportional to 117.48, 175.29 and 116.80

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Solution

The fourth proportional to 117.48, 175.29 and 116.80 is: 174.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    117.48 : 175.29 = 116.80 : x
  2. Step 2: Convert to fraction form
    117.48/175.29 = 116.80/x
  3. Step 3: Cross multiply
    117.48x = 175.29 × 116.80
  4. Step 4: Simplify right side
    117.48x = 20,473.87
  5. Step 5: Solve for x
    x = 20,473.87/117.48
  6. Step 6: Final answer
    x = 174.28

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.