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Finding the Fourth Proportional to 117.19, 174.63 and 113.66

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Solution

The fourth proportional to 117.19, 174.63 and 113.66 is: 169.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    117.19 : 174.63 = 113.66 : x
  2. Step 2: Convert to fraction form
    117.19/174.63 = 113.66/x
  3. Step 3: Cross multiply
    117.19x = 174.63 × 113.66
  4. Step 4: Simplify right side
    117.19x = 19,849.64
  5. Step 5: Solve for x
    x = 19,849.64/117.19
  6. Step 6: Final answer
    x = 169.39

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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.