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Finding the Fourth Proportional to 117.18, 161.73 and 111.51

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Solution

The fourth proportional to 117.18, 161.73 and 111.51 is: 153.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    117.18 : 161.73 = 111.51 : x
  2. Step 2: Convert to fraction form
    117.18/161.73 = 111.51/x
  3. Step 3: Cross multiply
    117.18x = 161.73 × 111.51
  4. Step 4: Simplify right side
    117.18x = 18,034.51
  5. Step 5: Solve for x
    x = 18,034.51/117.18
  6. Step 6: Final answer
    x = 153.90

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.