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Finding the Fourth Proportional to 117.23, 174.92 and 116.55

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Solution

The fourth proportional to 117.23, 174.92 and 116.55 is: 173.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    117.23 : 174.92 = 116.55 : x
  2. Step 2: Convert to fraction form
    117.23/174.92 = 116.55/x
  3. Step 3: Cross multiply
    117.23x = 174.92 × 116.55
  4. Step 4: Simplify right side
    117.23x = 20,386.93
  5. Step 5: Solve for x
    x = 20,386.93/117.23
  6. Step 6: Final answer
    x = 173.91

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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.