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Finding the Fourth Proportional to 117.80, 175.91 and 116.52

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Solution

The fourth proportional to 117.80, 175.91 and 116.52 is: 174.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    117.80 : 175.91 = 116.52 : x
  2. Step 2: Convert to fraction form
    117.80/175.91 = 116.52/x
  3. Step 3: Cross multiply
    117.80x = 175.91 × 116.52
  4. Step 4: Simplify right side
    117.80x = 20,497.55
  5. Step 5: Solve for x
    x = 20,497.55/117.80
  6. Step 6: Final answer
    x = 174.01

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